Classification of nuclear C*-algebras: entropy in operator algebras
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2002
|
| Schriftenreihe: | Encyclopaedia of mathematical sciences
126 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 198 S. |
| ISBN: | 3540423052 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128906095099904 |
|---|---|
| adam_text | M. R0RDAM E. ST0RMER CLASSIFICATION OF NUCLEAR C*-ALGEBRAS. ENTROPY IN
OPERATOR ALGEBRAS SPRINGER I. CLASSIFICATION OF NUCLEAR, SIMPLE
C*-ALGEBRAS M. RORDAM CONTENTS PREFACE 3 INTRODUCTION 4 CHAPTER 1
AF-ALGEBRAS AND THEIR CLASSIFICATION 6 1.1 THE ORDERED /CO-GROUP OF A
C*-ALGEBRA 6 1.2 BASIC PROPERTIES OF AF-ALGEBRAS 12 1.3 THE
CLASSIFICATION OF AF-ALGEBRAS 17 1.4 DIMENSION GROUPS *. 20 1.5 IDEALS
AND TRACES IN AF-ALGEBRAS 22 CHAPTER 2 PRELIMINARIES 24 2.1 NUCLEAR
C*-ALGEBRAS 24 2.2 THE ELLIOTT CONJECTURE 25 2.3 APPROXIMATE
INTERTWININGS 30 2.4 K K -THEORY AND THE UNIVERSAL COEFFICIENT THEOREM
34 2.5 UNIQUENESS AND EXISTENCE THEOREMS * TOWARDS A CLASSIFICATION ...
40 CHAPTER 3 CLASSIFICATION RESULTS FOR FINITE C*-ALGEBRAS 42 3.1 ON THE
STRUCTURE OF AH-ALAEBRAS 43 2 M. R0RDAM 3.2 CLASSIFICATION OF
AT-ALGEBRAS 48 3.3 CLASSIFICATION OF AH-ALGEBRAS 58 3.4 ASH-ALGEBRAS AND
FURTHER DEVELOPMENTS 62 CHAPTER 4 PURELY INFINITE SIMPLE C*-ALGEBRAS 66
4.1 ALGEBRAIC PROPERTIES 66 4.2 CUNTZ ALGEBRAS 70 4.3 REALIZING ALL
COUNTABLE ABELIAN GROUPS AS K -GROUPS 75 4.4 CUNTZ-KRIEGER ALGEBRAS AND
THEIR GENERALIZATIONS 78 CHAPTER 5 ON 2 - 86 5.1 A UNIQUENESS THEOREM
FOR ( 86 5.2 ON R? 2 % 89 CHAPTER 6 NUCLEAR AND EXACT C*-ALGEBRAS 91
6.1 NUCLEAR AND EXACT C*-ALGEBRAS 91 6.2 LIMIT ALGEBRAS 95 6.3
KIRCHBERG S EMBEDDING THEOREMS FOR NUCLEAR AND EXACT C*-ALGEBRAS 98
CHAPTER 7 TENSOR PRODUCTS BY ^ AND BY %O 108 7.1 ON A 8 62 109 7.2
ON/T^ 110 CHAPTER 8 CLASSIFICATION OF KIRCHBERG ALGEBRAS 114 8.1
EQUIVALENCE AND ADDITION OF *-HOMOMORPHISMS 114 8.2 PHILLIPS APPROACH
115 8.3 KIRCHBERG S WEYL-VON NEUMANN THEOREM 125 8.4 THE ISOMORPHISM
THEOREMS 127 REFERENCES : 135 LIST OF SYMBOLS 141 INDEX 143
|
| any_adam_object | 1 |
| author | Rørdam, Mikael 1959- Størmer, Erling |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014046110 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:56:41Z |
| institution | BVB |
| isbn | 3540423052 |
| language | English |
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| physical | VII, 198 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Encyclopaedia of mathematical sciences |
| series2 | Encyclopaedia of mathematical sciences Encyclopaedia of mathematical sciences / Operator algebras and non-commutative geometry |
| spelling | Rørdam, Mikael 1959- Verfasser (DE-588)174092466 aut Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer Berlin [u.a.] Springer 2002 VII, 198 S. txt rdacontent n rdamedia nc rdacarrier Encyclopaedia of mathematical sciences 126 Encyclopaedia of mathematical sciences / Operator algebras and non-commutative geometry 7 C*-algebra's gtt C*-algèbres Operatortheorie gtt C*-algebras Operatoralgebra (DE-588)4129366-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Operatoralgebra (DE-588)4129366-6 s Entropie (DE-588)4014894-4 s DE-604 Størmer, Erling Verfasser aut Operator algebras and non-commutative geometry Encyclopaedia of mathematical sciences 7 (DE-604)BV014111511 7 Encyclopaedia of mathematical sciences 126 (DE-604)BV024126459 126 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009618739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rørdam, Mikael 1959- Størmer, Erling Classification of nuclear C*-algebras entropy in operator algebras Encyclopaedia of mathematical sciences C*-algebra's gtt C*-algèbres Operatortheorie gtt C*-algebras Operatoralgebra (DE-588)4129366-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd |
| subject_GND | (DE-588)4129366-6 (DE-588)4136693-1 (DE-588)4014894-4 |
| title | Classification of nuclear C*-algebras entropy in operator algebras |
| title_auth | Classification of nuclear C*-algebras entropy in operator algebras |
| title_exact_search | Classification of nuclear C*-algebras entropy in operator algebras |
| title_full | Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer |
| title_fullStr | Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer |
| title_full_unstemmed | Classification of nuclear C*-algebras entropy in operator algebras M. Rørdam ; E. Størmer |
| title_short | Classification of nuclear C*-algebras |
| title_sort | classification of nuclear c algebras entropy in operator algebras |
| title_sub | entropy in operator algebras |
| topic | C*-algebra's gtt C*-algèbres Operatortheorie gtt C*-algebras Operatoralgebra (DE-588)4129366-6 gnd C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd |
| topic_facet | C*-algebra's C*-algèbres Operatortheorie C*-algebras Operatoralgebra C-Stern-Algebra Entropie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009618739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014111511 (DE-604)BV024126459 |
| work_keys_str_mv | AT rørdammikael classificationofnuclearcalgebrasentropyinoperatoralgebras AT størmererling classificationofnuclearcalgebrasentropyinoperatoralgebras |