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The duality of compact semigroups and C-bigebras / / K. H. Hofmann
The duality of compact semigroups and C-bigebras / / K. H. Hofmann
Autore Hofmann Karl Heinrich
Edizione [1st ed. 1970.]
Pubbl/distr/stampa Berlin : , : Springer-Verlag, , [1970]
Descrizione fisica 1 online resource (XIV, 146 p.)
Disciplina 510
Collana Lecture notes in mathematics
Soggetto topico Mathematics
ISBN 3-540-36269-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Definition of duality -- Multiplicative categories -- Algebras over a category with multiplication -- Cogebras over a category with multiplication -- Bigebras -- C*-algebras -- A multiplication for the category C* -- The confunctor spec for commutative C*-algebras -- Finite coproducts of commutative C*-algebras with identity -- C*-Cogebras -- The duality of compact semigroups -- Involutive bigebras and their relation to C*-bigebras -- Dualities for compact groups -- Dualities for totally disconnected compact semigroups -- Discrete involutive semigroups and duality.
Record Nr. UNISA-996466635003316
Hofmann Karl Heinrich  
Berlin : , : Springer-Verlag, , [1970]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (129 p.)
Disciplina 511/.33
Collana Memoirs of the American Mathematical Society
Soggetto topico Categories (Mathematics)
Topological spaces
Lattice theory
Ordered sets
Partially ordered sets
Soggetto genere / forma Electronic books.
ISBN 0-8218-9920-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Adjoint functors between the categories of partially ordered sets and topological spaces""; ""2. The general adjunction theorem""; ""3. Special adjunction theorems for various categories of partially ordered semigroups, semilattices, lattices, partial lattices to the full category of topological spaces""; ""4. Continuous characters and the duality of semiprime lattices and spectral spaces""; ""5. Quasicompactness and quasi-Boolean duality""; ""6. Minimal and regular characters. Compactifications""
""7. Maximal and pseudocomplemented characters. Projective covers. O-distributive and weakly complemented lattices""""Bibliographical Notes""; ""Bibliography""; ""List of categories""; ""List of frequently used symbols""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""W""
Record Nr. UNINA-9910480029403321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (129 p.)
Disciplina 511/.33
Collana Memoirs of the American Mathematical Society
Soggetto topico Categories (Mathematics)
Topological spaces
Lattice theory
Ordered sets
Partially ordered sets
ISBN 0-8218-9920-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Adjoint functors between the categories of partially ordered sets and topological spaces""; ""2. The general adjunction theorem""; ""3. Special adjunction theorems for various categories of partially ordered semigroups, semilattices, lattices, partial lattices to the full category of topological spaces""; ""4. Continuous characters and the duality of semiprime lattices and spectral spaces""; ""5. Quasicompactness and quasi-Boolean duality""; ""6. Minimal and regular characters. Compactifications""
""7. Maximal and pseudocomplemented characters. Projective covers. O-distributive and weakly complemented lattices""""Bibliographical Notes""; ""Bibliography""; ""List of categories""; ""List of frequently used symbols""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""W""
Record Nr. UNINA-9910788613803321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
A general character theory for partially ordered sets and lattices / / by Karl Heinrich Hofmann and Klaus Keimel
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1972
Descrizione fisica 1 online resource (129 p.)
Disciplina 511/.33
Collana Memoirs of the American Mathematical Society
Soggetto topico Categories (Mathematics)
Topological spaces
Lattice theory
Ordered sets
Partially ordered sets
ISBN 0-8218-9920-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Adjoint functors between the categories of partially ordered sets and topological spaces""; ""2. The general adjunction theorem""; ""3. Special adjunction theorems for various categories of partially ordered semigroups, semilattices, lattices, partial lattices to the full category of topological spaces""; ""4. Continuous characters and the duality of semiprime lattices and spectral spaces""; ""5. Quasicompactness and quasi-Boolean duality""; ""6. Minimal and regular characters. Compactifications""
""7. Maximal and pseudocomplemented characters. Projective covers. O-distributive and weakly complemented lattices""""Bibliographical Notes""; ""Bibliography""; ""List of categories""; ""List of frequently used symbols""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""H""; ""I""; ""J""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""W""
Record Nr. UNINA-9910818807803321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , 1972
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1997]
Descrizione fisica 1 online resource (189 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Lie groups
Loops (Group theory)
Topological semigroups
Soggetto genere / forma Electronic books.
ISBN 1-4704-0207-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The Problem and its Background""; ""2. A Survey of Methods and Techniques""; ""3. The Major Results""; ""4. Suggestions for the Reader""; ""Chapter 2. The Basic Theory of Exponential Semigroups in Lie Groups""; ""1. Basic Definitions and Examples""; ""2. The Exponential Function and Divisibility""; ""3. The Exponential Image of Lie Wedges and Regularity""; ""4. Maximal Rank Subgroups""; ""5. Interior Points in the Tangent Wedge""; ""Chapter 3. Weyl Groups and Finiteness Properties of Cartan Subalgebras""; ""1. Cartan Dense Ideals""
""2. Algebraic Hulls""""3. Generalized Weyl Groups""; ""4. Intersections of Cartan Subalgebras""; ""5. Porcupine Varieties""; ""6. Porcupine Varieties are Proper""; ""7. The Codimension of Porcupine Varieties""; ""Chapter 4. Lie Semialgebras""; ""1. Semialgebras Revisited""; ""2. Dispersion of Weakly Exponential Semigroups""; ""3. More about Subtangent Vectors""; ""4. Reductions by Factoring Normal Subgroups""; ""5. Porcupine Varieties and Lie Semialgebras""; ""6. Groups with a Unique Maximal Compact Subgroup""; ""7. More about Lean Sets""; ""Chapter 5. More Examples""
""1. Examples Connected with the Special Linear Group""""2. Some Results on Injective Images of Lie Subsemigroups""; ""3. Examples Connected with the Motion Algebra""; ""4. Examples Connected with the Oscillator Group""; ""5. Examples Connected with Compact Lie Algebras""; ""Chapter 6. Test Algebras and Groups""; ""1. Extensions of the Motion Algebra and of the Oscillator Algebra""; ""2. Test Objects""; ""3. Locally Direct Products of Lie Groups""; ""4. The Proof of the Testing Theorem""; ""Chapter 7. Groups Supporting Reduced Weakly Exponential Semigroups""
""1. 'Occam's Razor' and Reduced Weakly Exponential Subsemigroups""""2. The Spectrum of adw is Contained in R U iR""; ""3. Root Spaces with Respect to Real-Valued Roots""; ""4. Weakly Exponential Subsemigroups and Eggert Algebras""; ""Chapter 8. Roots and Root Spaces""; ""1. Roots and Root Spaces""; ""2. The Answer""; ""Chapter 9. Appendix: The Hyperspace of a Locally Compact Space""; ""1. Continuous Lattices, Lawson Topology, and Hyperspaces""; ""2. Continuous Functions""; ""3. The Use of Nets""; ""4. Applications to Topological Algebras""; ""References""; ""Index""; ""A""; ""B""; ""C""
""D""""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
Record Nr. UNINA-9910480856703321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , [1997]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1997]
Descrizione fisica 1 online resource (189 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Lie groups
Loops (Group theory)
Topological semigroups
ISBN 1-4704-0207-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The Problem and its Background""; ""2. A Survey of Methods and Techniques""; ""3. The Major Results""; ""4. Suggestions for the Reader""; ""Chapter 2. The Basic Theory of Exponential Semigroups in Lie Groups""; ""1. Basic Definitions and Examples""; ""2. The Exponential Function and Divisibility""; ""3. The Exponential Image of Lie Wedges and Regularity""; ""4. Maximal Rank Subgroups""; ""5. Interior Points in the Tangent Wedge""; ""Chapter 3. Weyl Groups and Finiteness Properties of Cartan Subalgebras""; ""1. Cartan Dense Ideals""
""2. Algebraic Hulls""""3. Generalized Weyl Groups""; ""4. Intersections of Cartan Subalgebras""; ""5. Porcupine Varieties""; ""6. Porcupine Varieties are Proper""; ""7. The Codimension of Porcupine Varieties""; ""Chapter 4. Lie Semialgebras""; ""1. Semialgebras Revisited""; ""2. Dispersion of Weakly Exponential Semigroups""; ""3. More about Subtangent Vectors""; ""4. Reductions by Factoring Normal Subgroups""; ""5. Porcupine Varieties and Lie Semialgebras""; ""6. Groups with a Unique Maximal Compact Subgroup""; ""7. More about Lean Sets""; ""Chapter 5. More Examples""
""1. Examples Connected with the Special Linear Group""""2. Some Results on Injective Images of Lie Subsemigroups""; ""3. Examples Connected with the Motion Algebra""; ""4. Examples Connected with the Oscillator Group""; ""5. Examples Connected with Compact Lie Algebras""; ""Chapter 6. Test Algebras and Groups""; ""1. Extensions of the Motion Algebra and of the Oscillator Algebra""; ""2. Test Objects""; ""3. Locally Direct Products of Lie Groups""; ""4. The Proof of the Testing Theorem""; ""Chapter 7. Groups Supporting Reduced Weakly Exponential Semigroups""
""1. 'Occam's Razor' and Reduced Weakly Exponential Subsemigroups""""2. The Spectrum of adw is Contained in R U iR""; ""3. Root Spaces with Respect to Real-Valued Roots""; ""4. Weakly Exponential Subsemigroups and Eggert Algebras""; ""Chapter 8. Roots and Root Spaces""; ""1. Roots and Root Spaces""; ""2. The Answer""; ""Chapter 9. Appendix: The Hyperspace of a Locally Compact Space""; ""1. Continuous Lattices, Lawson Topology, and Hyperspaces""; ""2. Continuous Functions""; ""3. The Use of Nets""; ""4. Applications to Topological Algebras""; ""References""; ""Index""; ""A""; ""B""; ""C""
""D""""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
Record Nr. UNINA-9910788733103321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , [1997]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Lie groups and subsemigroups with surjective exponential fuction / / Karl H. Hofmann, Wolfgang A.F. Ruppert
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1997]
Descrizione fisica 1 online resource (189 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Lie groups
Loops (Group theory)
Topological semigroups
ISBN 1-4704-0207-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""1. The Problem and its Background""; ""2. A Survey of Methods and Techniques""; ""3. The Major Results""; ""4. Suggestions for the Reader""; ""Chapter 2. The Basic Theory of Exponential Semigroups in Lie Groups""; ""1. Basic Definitions and Examples""; ""2. The Exponential Function and Divisibility""; ""3. The Exponential Image of Lie Wedges and Regularity""; ""4. Maximal Rank Subgroups""; ""5. Interior Points in the Tangent Wedge""; ""Chapter 3. Weyl Groups and Finiteness Properties of Cartan Subalgebras""; ""1. Cartan Dense Ideals""
""2. Algebraic Hulls""""3. Generalized Weyl Groups""; ""4. Intersections of Cartan Subalgebras""; ""5. Porcupine Varieties""; ""6. Porcupine Varieties are Proper""; ""7. The Codimension of Porcupine Varieties""; ""Chapter 4. Lie Semialgebras""; ""1. Semialgebras Revisited""; ""2. Dispersion of Weakly Exponential Semigroups""; ""3. More about Subtangent Vectors""; ""4. Reductions by Factoring Normal Subgroups""; ""5. Porcupine Varieties and Lie Semialgebras""; ""6. Groups with a Unique Maximal Compact Subgroup""; ""7. More about Lean Sets""; ""Chapter 5. More Examples""
""1. Examples Connected with the Special Linear Group""""2. Some Results on Injective Images of Lie Subsemigroups""; ""3. Examples Connected with the Motion Algebra""; ""4. Examples Connected with the Oscillator Group""; ""5. Examples Connected with Compact Lie Algebras""; ""Chapter 6. Test Algebras and Groups""; ""1. Extensions of the Motion Algebra and of the Oscillator Algebra""; ""2. Test Objects""; ""3. Locally Direct Products of Lie Groups""; ""4. The Proof of the Testing Theorem""; ""Chapter 7. Groups Supporting Reduced Weakly Exponential Semigroups""
""1. 'Occam's Razor' and Reduced Weakly Exponential Subsemigroups""""2. The Spectrum of adw is Contained in R U iR""; ""3. Root Spaces with Respect to Real-Valued Roots""; ""4. Weakly Exponential Subsemigroups and Eggert Algebras""; ""Chapter 8. Roots and Root Spaces""; ""1. Roots and Root Spaces""; ""2. The Answer""; ""Chapter 9. Appendix: The Hyperspace of a Locally Compact Space""; ""1. Continuous Lattices, Lawson Topology, and Hyperspaces""; ""2. Continuous Functions""; ""3. The Use of Nets""; ""4. Applications to Topological Algebras""; ""References""; ""Index""; ""A""; ""B""; ""C""
""D""""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
Record Nr. UNINA-9910827858503321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , [1997]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The Pontryagin duality of compact O-dimensional semilattices and its applications / / K. H. Hofmann, M. Mislove, and A. Stralka
The Pontryagin duality of compact O-dimensional semilattices and its applications / / K. H. Hofmann, M. Mislove, and A. Stralka
Autore Hofmann Karl Heinrich
Edizione [1st ed. 1974.]
Pubbl/distr/stampa Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974]
Descrizione fisica 1 online resource (XVIII, 130 p.)
Disciplina 512.55
Collana Lecture Notes in Mathematics
Soggetto topico Duality theory (Mathematics)
Pontrjagin duality
Semigroups
ISBN 3-540-37741-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preliminaries -- The category of discrete semilattices and the category of compact zero-dimensional semilattices -- The character theory of compact and discrete semilattices -- Application of duality to lattice theory -- Applications of duality to the structure theory of compact zero dimensional semilattices.
Record Nr. UNISA-996466533403316
Hofmann Karl Heinrich  
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Splitting in topological groups / / by K.H. Hofmann and Paul Mostert
Splitting in topological groups / / by K.H. Hofmann and Paul Mostert
Autore Hofmann Karl Heinrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1963]
Descrizione fisica 1 online resource (89 p.)
Collana Memoirs of the American Mathematical Society
Soggetto topico Topological groups
Soggetto genere / forma Electronic books.
ISBN 0-8218-9987-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""INTRODUCTION""; ""I. CROSSED ENDOMORPHISMS AND SPLITTING OF GROUPS""; ""II. THE RADICAL AND THE CROSSED RADICAL""; ""III. QUOTIENT SPACES WITH INVARIANT MEANS""; ""IV. FIRST APPLICATION""; ""V. SPLITTING OF VECTOR SUBGROUPS WITH COMPACT QUOTIENT""; ""VI. SECOND APPLICATION""; ""VII. NORMAL HILBERT SUBGROUPS IN TOPOLOGICAL GROUPS""; ""VIII. SPLITTING OF VECTOR SOLVABLE SUBGROUPS""; ""IX. A DIGRESSION INTO LOCALLY COMPACT GROUPS""; ""X. SPLITTING CENTRAL VECTOR GROUPS IN TOPOLOGICAL GROUPS""; ""XI. EXAMPLES OF NON-SPLITTING EXTENSIONS""
""XII. LOCALLY COMPACT GROUPS WITH INVARIANT NEIGHBORHOODS OF THE IDENTITY""""XIII. SIXTH APPLICATION""; ""XIV. UNIMODULARITY""; ""BIBLIOGRAPHY""; ""APPENDIX""
Record Nr. UNINA-9910480829403321
Hofmann Karl Heinrich  
Providence, Rhode Island : , : American Mathematical Society, , [1963]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Splitting in topological groups / / K.H. Hofmann, Paul Mostert
Splitting in topological groups / / K.H. Hofmann, Paul Mostert
Autore Hofmann Karl Heinrich
Edizione [Repr. with additions.]
Pubbl/distr/stampa Providence, R.I. : , : American Mathematical Society, , [1963]
Descrizione fisica 1 online resource (89 pages)
Collana Memoirs of the American Mathematical Society
Soggetto topico Topological groups
ISBN 0-8218-9987-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""INTRODUCTION""; ""I. CROSSED ENDOMORPHISMS AND SPLITTING OF GROUPS""; ""II. THE RADICAL AND THE CROSSED RADICAL""; ""III. QUOTIENT SPACES WITH INVARIANT MEANS""; ""IV. FIRST APPLICATION""; ""V. SPLITTING OF VECTOR SUBGROUPS WITH COMPACT QUOTIENT""; ""VI. SECOND APPLICATION""; ""VII. NORMAL HILBERT SUBGROUPS IN TOPOLOGICAL GROUPS""; ""VIII. SPLITTING OF VECTOR SOLVABLE SUBGROUPS""; ""IX. A DIGRESSION INTO LOCALLY COMPACT GROUPS""; ""X. SPLITTING CENTRAL VECTOR GROUPS IN TOPOLOGICAL GROUPS""; ""XI. EXAMPLES OF NON-SPLITTING EXTENSIONS""
""XII. LOCALLY COMPACT GROUPS WITH INVARIANT NEIGHBORHOODS OF THE IDENTITY""""XIII. SIXTH APPLICATION""; ""XIV. UNIMODULARITY""; ""BIBLIOGRAPHY""; ""APPENDIX""
Record Nr. UNINA-9910788610003321
Hofmann Karl Heinrich  
Providence, R.I. : , : American Mathematical Society, , [1963]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui