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Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910480626403321 |
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910788857803321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin
| Approximate homotopy of homomorphisms from C(X) into a simple C-algebra / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (131 p.) |
| Disciplina | 514.24 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Homotopy theory
Homomorphisms (Mathematics) C*-algebras |
| ISBN | 1-4704-0577-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 1. Prelude""; ""1. Introduction""; ""2. Conventions and some facts""; ""3. The Basic Homotopy Lemma for dim(X)1""; ""Chapter 2. The Basic Homotopy Lemma for higher dimensional spaces""; ""4. K-theory and traces""; ""5. Some finite dimensional approximations""; ""6. The Basic Homotopy Lemma --- full spectrum""; ""7. The Basic Homotopy Lemma --- finite CW complexes""; ""8. The Basic Homotopy Lemma --- compact metric spaces""; ""9. The constant and an obstruction behind the measure distribution""; ""Chapter 3. Purely infinite simple C*-algebras""
""10. Purely infinite simple C*-alegbras""""11. Basic Homotopy Lemma in purely infinite simple C*-algebras""; ""Chapter 4. Approximate homotopy""; ""12. Homotopy length""; ""13. Approximate homotopy for homomorphisms""; ""14. Approximate homotopy for approximately multiplicative maps""; ""Chapter 5. Super Homotopy""; ""15. Super Homotopy Lemma --- the purely infinite case""; ""16. Super Homotopy Lemma --- the finite case""; ""Chapter 6. Postlude""; ""17. Non-commutative cases""; ""18. Concluding remarks""; ""Bibliography"" |
| Record Nr. | UNINA-9910811629303321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
C-algebra extensions of C(X) / / Huaxin Lin
| C-algebra extensions of C(X) / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (102 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0129-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; "" 0. Introduction""; ""Chapter I. Totally Trivial Extensions""; "" 1. Totally trivial extensions""; "" 2. The Weyl-von Neumann theorem for unitaries""; ""Chapter II. The Functor L(·,A)""; "" 3. Some operations on E(X,A)""; "" 4. Exactness of the sequence E(F,A) â?? E(X,A) â?? E(X/F,A)""; "" 5. E(X,A) as a group""; "" 6. E(·,A) as a homotopy functor""; ""Chapter III. BDF Theory for C*-Algebras with Real Rank Zero""; "" 7. The index map""; "" 8. Applications to purely infinite simple C*-algebras""
""Â 9. The Weyl-von-Neumann theorem for normal elements with one dimensional spectra""""Chapter IV. Extensions by Finite Matroid Algebras""; ""Â 10. Absorption lemmas and E(X,A)""; ""Â 11. Extensions by finite matroid C*-algebras and the Weyl-von Neumann-Berg theorem""; ""Â 12. Classification of extensions by finite matroid algebras""; ""References"" |
| Record Nr. | UNINA-9910480542803321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
C-algebra extensions of C(X) / / Huaxin Lin
| C-algebra extensions of C(X) / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (102 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| ISBN | 1-4704-0129-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; "" 0. Introduction""; ""Chapter I. Totally Trivial Extensions""; "" 1. Totally trivial extensions""; "" 2. The Weyl-von Neumann theorem for unitaries""; ""Chapter II. The Functor L(·,A)""; "" 3. Some operations on E(X,A)""; "" 4. Exactness of the sequence E(F,A) â?? E(X,A) â?? E(X/F,A)""; "" 5. E(X,A) as a group""; "" 6. E(·,A) as a homotopy functor""; ""Chapter III. BDF Theory for C*-Algebras with Real Rank Zero""; "" 7. The index map""; "" 8. Applications to purely infinite simple C*-algebras""
""Â 9. The Weyl-von-Neumann theorem for normal elements with one dimensional spectra""""Chapter IV. Extensions by Finite Matroid Algebras""; ""Â 10. Absorption lemmas and E(X,A)""; ""Â 11. Extensions by finite matroid C*-algebras and the Weyl-von Neumann-Berg theorem""; ""Â 12. Classification of extensions by finite matroid algebras""; ""References"" |
| Record Nr. | UNINA-9910788756903321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
C-algebra extensions of C(X) / / Huaxin Lin
| C-algebra extensions of C(X) / / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (102 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| ISBN | 1-4704-0129-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; "" 0. Introduction""; ""Chapter I. Totally Trivial Extensions""; "" 1. Totally trivial extensions""; "" 2. The Weyl-von Neumann theorem for unitaries""; ""Chapter II. The Functor L(·,A)""; "" 3. Some operations on E(X,A)""; "" 4. Exactness of the sequence E(F,A) â?? E(X,A) â?? E(X/F,A)""; "" 5. E(X,A) as a group""; "" 6. E(·,A) as a homotopy functor""; ""Chapter III. BDF Theory for C*-Algebras with Real Rank Zero""; "" 7. The index map""; "" 8. Applications to purely infinite simple C*-algebras""
""Â 9. The Weyl-von-Neumann theorem for normal elements with one dimensional spectra""""Chapter IV. Extensions by Finite Matroid Algebras""; ""Â 10. Absorption lemmas and E(X,A)""; ""Â 11. Extensions by finite matroid C*-algebras and the Weyl-von Neumann-Berg theorem""; ""Â 12. Classification of extensions by finite matroid algebras""; ""References"" |
| Record Nr. | UNINA-9910818934403321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips
| Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0144-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Approximately absorbing homomorphisms""; ""2. Homotopies of asymptotic morphisms""; ""3. Approximate unitary equivalence of homomorphisms""; ""4. The existence theorem""; ""5. The main results""; ""References"" |
| Record Nr. | UNINA-9910480525203321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips
| Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| Soggetto non controllato | Cuntz-circle algebras |
| ISBN | 1-4704-0144-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Approximately absorbing homomorphisms""; ""2. Homotopies of asymptotic morphisms""; ""3. Approximate unitary equivalence of homomorphisms""; ""4. The existence theorem""; ""5. The main results""; ""References"" |
| Record Nr. | UNINA-9910788758803321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips
| Classification of direct limits of even Cuntz-circle algebras / / Huaxin Lin, N. Christopher Phillips |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1995 |
| Descrizione fisica | 1 online resource (129 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
K-theory |
| Soggetto non controllato | Cuntz-circle algebras |
| ISBN | 1-4704-0144-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Introduction""; ""1. Approximately absorbing homomorphisms""; ""2. Homotopies of asymptotic morphisms""; ""3. Approximate unitary equivalence of homomorphisms""; ""4. The existence theorem""; ""5. The main results""; ""References"" |
| Record Nr. | UNINA-9910829053103321 |
|
Lin Huaxin <1956->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to the classification of amenable C-algebras [[electronic resource] /] / Huaxin Lin
| An introduction to the classification of amenable C-algebras [[electronic resource] /] / Huaxin Lin |
| Autore | Lin Huaxin <1956-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 512.55 |
| Soggetto topico |
C*-algebras
Banach algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95143-9
9786611951436 981-279-988-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Chapter 1 The Basics of C*-algebras; 1.1 Banach algebras; 1.2 C*-algebras; 1.3 Commutative C*-algebras; 1.4 Positive cones; 1.5 Approximate identities, hereditary C*-subalgebras and quotients; 1.6 Positive linear functionals and a Gelfand-Naimark theorem; 1.7 Von Neumann algebras; 1.8 Enveloping von Neumann algebras and the spectral theorem; 1.9 Examples of C*-algebras; 1.10 Inductive limits of C*-algebras; 1.11 Exercises; 1.12 Addenda; Chapter 2 Amenable C*-algebras and K-theory; 2.1 Completely positive linear maps and the Stinespring representation
2.2 Examples of completely positive linear maps2.3 Amenable C*-algebras; 2.4 K-theory; 2.5 Perturbations; 2.6 Examples of K-groups; 2.7 K-theory of inductive limits of C*-algebras; 2.8 Exercises; 2.9 Addenda; Chapter 3 AF-algebras and Ranks of C*-algebras; 3.1 C*-algebras of stable rank one and their K-theory; 3.2 C*-algebras of lower rank; 3.3 Order structure of K-theory; 3.4 AF-algebras; 3.5 Simple C*-algebras; 3.6 Tracial topological rank; 3.7 Simple C*-algebras with TR(A) < 1; 3.8 Exercises; 3.9 Addenda; Chapter 4 Classification of Simple AT-algebras; 4.1 Some basics about AT-algebras 4.2 Unitary groups of C*-algebras with real rank zero4.3 Simple AT-algebras with real rank zero; 4.4 Unitaries in simple C*-algebra with RR(A) = 0; 4.5 A uniqueness theorem; 4.6 Classification of simple AT-algebras; 4.7 Invariants of simple AT-algebras; 4.8 Exercises; 4.9 Addenda; Chapter 5 C*-algebra Extensions; 5.1 Multiplier algebras; 5.2 Extensions of C*-algebras; 5.3 Completely positive maps to Mn(C); 5.4 Amenable completely positive maps; 5.5 Absorbing extensions; 5.6 A stable uniqueness theorem; 5.7 K-theory and the universal coefficient theorem 5.8 Characterization of KK-theory and a universal multi-coefficient theorem5.9 Approximately trivial extensions; 5.10 Exercises; Chapter 6 Classification of Simple Amenable C*-algebras; 6.1 An existence theorem; 6.2 Simple AH-algebras; 6.3 The classification theorems; 6.4 Invariants and some isomorphism theorems; Bibliography; Index |
| Record Nr. | UNINA-9910454415703321 |
|
Lin Huaxin <1956->
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
