Invariant Means and finite representation theory of C*-algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2006
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
865 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 184, number 865 (first of 4 numbers)." |
| Beschreibung: | VIII, 105 S. |
| ISBN: | 0821839160 9780821839164 |
Internformat
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| 245 | 1 | 0 | |a Invariant Means and finite representation theory of C*-algebras |c Nathanial P. Brown |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2006 | |
| 300 | |a VIII, 105 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 7 | |a C* álgebras |2 larpcal | |
| 650 | 7 | |a C*-algebra's |2 gtt | |
| 650 | 7 | |a Invarianten |2 gtt | |
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| 650 | 4 | |a C*-algebras | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Notation, definitions and useful facts 9
Chapter 3. Amenable traces and stronger approximation properties 15
3.1. Characterizations of amenable traces 15
3.2. Uniform amenable traces 22
3.3. Quasidiagonal traces 25
3.4. Locally finite dimensional traces 27
3.5. Miscellaneous remarks and permanence properties 27
Chapter 4. Examples and special cases 35
4.1. Discrete groups 35
4.2. Nuclear and WEP C* algebras 39
4.3. Locally reflexive, exact and quasidiagonal C* algebras 42
4.4. Type I C* algebras 45
4.5. Tracially AF C* algebras 47
Chapter 5. Finite representations 55
5.1. Ili factor representations of some universal C* algebras 55
5.2. Elliott s intertwining argument for Ili factors 57
5.3. Ili factor representations of Popa Algebras 58
Chapter 6. Applications and connections with other areas 67
6.1. Elliott s classification program 67
6.2. Counterexamples to questions of Lin and Popa 77
6.3. Connes embedding problem 82
6.4. Amenable traces and numerical analysis 87
6.5. Amenable traces and obstructions in K homology 92
6.6. Stable finiteness versus quasidiagonality 97
6.7. Questions 100
Bibliography 103
vii
|
| adam_txt |
Contents
Chapter 1. Introduction 1
Chapter 2. Notation, definitions and useful facts 9
Chapter 3. Amenable traces and stronger approximation properties 15
3.1. Characterizations of amenable traces 15
3.2. Uniform amenable traces 22
3.3. Quasidiagonal traces 25
3.4. Locally finite dimensional traces 27
3.5. Miscellaneous remarks and permanence properties 27
Chapter 4. Examples and special cases 35
4.1. Discrete groups 35
4.2. Nuclear and WEP C* algebras 39
4.3. Locally reflexive, exact and quasidiagonal C* algebras 42
4.4. Type I C* algebras 45
4.5. Tracially AF C* algebras 47
Chapter 5. Finite representations 55
5.1. Ili factor representations of some universal C* algebras 55
5.2. Elliott's intertwining argument for Ili factors 57
5.3. Ili factor representations of Popa Algebras 58
Chapter 6. Applications and connections with other areas 67
6.1. Elliott's classification program 67
6.2. Counterexamples to questions of Lin and Popa 77
6.3. Connes' embedding problem 82
6.4. Amenable traces and numerical analysis 87
6.5. Amenable traces and obstructions in K homology 92
6.6. Stable finiteness versus quasidiagonality 97
6.7. Questions 100
Bibliography 103
vii |
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| index_date | 2024-07-02T15:50:07Z |
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| isbn | 0821839160 9780821839164 |
| language | English |
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| physical | VIII, 105 S. |
| publishDate | 2006 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Brown, Nathanial P. 1972- Verfasser (DE-588)140461159 aut Invariant Means and finite representation theory of C*-algebras Nathanial P. Brown Providence, RI American Mathematical Society 2006 VIII, 105 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 865 "Volume 184, number 865 (first of 4 numbers)." C* álgebras larpcal C*-algebra's gtt Invarianten gtt Representatie (wiskunde) gtt Teoria da representação (análise funcional) larpcal C*-algebras Representations of algebras Memoirs of the American Mathematical Society 865 (DE-604)BV008000141 865 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015020982&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Nathanial P. 1972- Invariant Means and finite representation theory of C*-algebras Memoirs of the American Mathematical Society C* álgebras larpcal C*-algebra's gtt Invarianten gtt Representatie (wiskunde) gtt Teoria da representação (análise funcional) larpcal C*-algebras Representations of algebras |
| title | Invariant Means and finite representation theory of C*-algebras |
| title_auth | Invariant Means and finite representation theory of C*-algebras |
| title_exact_search | Invariant Means and finite representation theory of C*-algebras |
| title_exact_search_txtP | Invariant Means and finite representation theory of C*-algebras |
| title_full | Invariant Means and finite representation theory of C*-algebras Nathanial P. Brown |
| title_fullStr | Invariant Means and finite representation theory of C*-algebras Nathanial P. Brown |
| title_full_unstemmed | Invariant Means and finite representation theory of C*-algebras Nathanial P. Brown |
| title_short | Invariant Means and finite representation theory of C*-algebras |
| title_sort | invariant means and finite representation theory of c algebras |
| topic | C* álgebras larpcal C*-algebra's gtt Invarianten gtt Representatie (wiskunde) gtt Teoria da representação (análise funcional) larpcal C*-algebras Representations of algebras |
| topic_facet | C* álgebras C*-algebra's Invarianten Representatie (wiskunde) Teoria da representação (análise funcional) C*-algebras Representations of algebras |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015020982&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT brownnathanialp invariantmeansandfiniterepresentationtheoryofcalgebras |