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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|