Introduction to the Baum-Connes conjecture:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2002
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Schriftenreihe: | Lectures in mathematics : ETH Zürich
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 104 S. |
ISBN: | 3764367067 |
Internformat
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245 | 1 | 0 | |a Introduction to the Baum-Connes conjecture |c Alain Valette |
264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2002 | |
300 | |a X, 104 S. | ||
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490 | 0 | |a Lectures in mathematics : ETH Zürich | |
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Datensatz im Suchindex
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adam_text | Contents
Introduction vii
1 Idempotents in Group Algebras 1
2 The Baum Connes Conjecture 7
2.1 A quick description 7
2.2 Status of the Baum Connes conjecture 9
2.3 The Baum Connes conjecture with coefficients 11
2.4 Stability results on the conjecture 13
2.5 Open questions 13
3 /iT theory for (Group) C* algebras 15
3.1 The Ko functor 15
3.2 The Ki functor 18
3.3 Exact sequences 20
4 Classifying Spaces and K homology 27
4.1 Classifying spaces for proper actions 27
4.2 Equivariant /f homology 31
5 Equivariant i^if theory 41
6 The Analytical Assembly Map 47
6.1 a la Baum Connes Higson 47
6.2 a la Kasparov 53
6.3 How to deduce the Kaplansky Kadison conjecture 55
7 Some Examples of the Assembly Map 57
8 Property (RD) 63
9 The Dirac dual Dirac Method 73
vi Contents
10 Lafforgue s KKB™ Theory 79
G. Mislin: On the Classifying Space for Proper Actions 87
A.I The topologist s model 87
A.2 The analyst s model 89
A.3 On G CW complexes 90
A.4 Spectra 92
Bibliography 95
Index 103
|
any_adam_object | 1 |
author | Valette, Alain ca. 1890 |
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dewey-ones | 516 - Geometry |
dewey-raw | 516.3/6 |
dewey-search | 516.3/6 |
dewey-sort | 3516.3 16 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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institution | BVB |
isbn | 3764367067 |
language | English |
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physical | X, 104 S. |
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series2 | Lectures in mathematics : ETH Zürich |
spelling | Valette, Alain ca. 1890 Verfasser (DE-588)123654734 aut Introduction to the Baum-Connes conjecture Alain Valette Basel [u.a.] Birkhäuser 2002 X, 104 S. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics : ETH Zürich K-theorie gtt Baum-Connes conjecture KK-theory Noncommutative differential geometry Baum-Connes-Vermutung (DE-588)4688506-7 gnd rswk-swf KK-Theorie (DE-588)4273845-3 gnd rswk-swf Baum-Connes-Vermutung (DE-588)4688506-7 s KK-Theorie (DE-588)4273845-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009757330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Valette, Alain ca. 1890 Introduction to the Baum-Connes conjecture K-theorie gtt Baum-Connes conjecture KK-theory Noncommutative differential geometry Baum-Connes-Vermutung (DE-588)4688506-7 gnd KK-Theorie (DE-588)4273845-3 gnd |
subject_GND | (DE-588)4688506-7 (DE-588)4273845-3 |
title | Introduction to the Baum-Connes conjecture |
title_auth | Introduction to the Baum-Connes conjecture |
title_exact_search | Introduction to the Baum-Connes conjecture |
title_full | Introduction to the Baum-Connes conjecture Alain Valette |
title_fullStr | Introduction to the Baum-Connes conjecture Alain Valette |
title_full_unstemmed | Introduction to the Baum-Connes conjecture Alain Valette |
title_short | Introduction to the Baum-Connes conjecture |
title_sort | introduction to the baum connes conjecture |
topic | K-theorie gtt Baum-Connes conjecture KK-theory Noncommutative differential geometry Baum-Connes-Vermutung (DE-588)4688506-7 gnd KK-Theorie (DE-588)4273845-3 gnd |
topic_facet | K-theorie Baum-Connes conjecture KK-theory Noncommutative differential geometry Baum-Connes-Vermutung KK-Theorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009757330&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT valettealain introductiontothebaumconnesconjecture |