Covering dimension of C*-algebras and 2-coloured classification:
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2019]
|
| Series: | Memoirs of the American Mathematical Society
volume 257, number 1233 (third of 6 numbers) |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030937257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | v, 106, 4 ungezählte Seiten |
| ISBN: | 9781470434700 |
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 257, number 1233 (third of 6 numbers) | |
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Record in the Search Index
| _version_ | 1819290619777908736 |
|---|---|
| adam_text | Contents
Introduction 1
From classification to nuclear dimension 5
Outline of the proof of Theorem D 6
Structure of the paper 7
Acknowledgements 8
Chapter 1. Preliminaries 9
1.1. Order zero maps 9
1.2. Traces and Cuntz comparison 10
1.3. Ultraproducts and the reindexing argument 12
Chapter 2. A 2 x 2 matrix trick 23
Chapter 3. Ultrapowers of trivial W*-bundles 27
3.1. Continuous W*-bundles 27
3.2. Tensor products, ultraproducts and McDuff bundles 29
3.3. Strict comparison of relative commutant sequence algebras for McDuff
bundles 35
3.4. Traces on a relative commutant 39
3.5. Unitary equivalence of maps into ultraproducts 41
Chapter 4. Property (SI) and its consequences 43
4.1. Property (SI) 44
4.2. Proof of Theorem 4.1 53
Chapter 5. Unitary equivalence of totally full positive elements 57
5.1. Proof of Theorem 5.1 57
5.2. Theorem D 63
Chapter 6. 2-coloured equivalence 67
Chapter 7. Nuclear dimension and decomposition rank 73
Chapter 8. Quasidiagonal traces 79
Chapter 9. Kirchberg algebras 83
Addendum 91
Bibliography 93
V
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| id | DE-604.BV045553328 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:30:11Z |
| institution | BVB |
| isbn | 9781470434700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030937257 |
| oclc_num | 1096364635 |
| open_access_boolean | |
| owner | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| owner_facet | DE-83 DE-355 DE-BY-UBR DE-29T DE-11 |
| physical | v, 106, 4 ungezählte Seiten |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Bosa, Joan 1985- Brown, Nathanial P. 1972- Sato, Yasuhiko Tikuisis, Aaron 1982- Covering dimension of C*-algebras and 2-coloured classification Memoirs of the American Mathematical Society |
| title | Covering dimension of C*-algebras and 2-coloured classification |
| title_auth | Covering dimension of C*-algebras and 2-coloured classification |
| title_exact_search | Covering dimension of C*-algebras and 2-coloured classification |
| title_full | Covering dimension of C*-algebras and 2-coloured classification |
| title_fullStr | Covering dimension of C*-algebras and 2-coloured classification |
| title_full_unstemmed | Covering dimension of C*-algebras and 2-coloured classification |
| title_short | Covering dimension of C*-algebras and 2-coloured classification |
| title_sort | covering dimension of c algebras and 2 coloured classification |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030937257&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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