Kac algebras and duality of locally compact groups:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin u.a.
Springer
1992
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003670491&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 257 S. |
| ISBN: | 3540547452 0387547452 |
Internformat
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| 100 | 1 | |a Enock, Michel |e Verfasser |0 (DE-588)113258658 |4 aut | |
| 245 | 1 | 0 | |a Kac algebras and duality of locally compact groups |c Michel Enock ; Jean-Marie Schwartz |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a X, 257 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Kac-Algebra |0 (DE-588)4304563-7 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Dualität |0 (DE-588)4013161-0 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Kac-Algebra |0 (DE-588)4304563-7 |D s |
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| 700 | 1 | |a Schwartz, Jean-Marie |e Verfasser |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003670491 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 223f 2001 A 13390 |
|---|---|
| DE-BY-TUM_katkey | 570518 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020476504 |
| _version_ | 1821930905113985024 |
| adam_text | Table of Contents
Introduction 1
Chapter 1. Co Involutive Hopf Von Neumann Algebras 7
1.1 Von Neumann Algebras
and Locally Compact Groups 8
1.2 Co Involutive Hopf Von Neumann Algebras ... 13
1.3 Positive Definite Elements in a Co Involutive
Hopf Von Neumann Algebra 19
1.4 Kronecker Product of Representations 23
1.5 Representations with Generator 30
1.6 Fourier Stieltjes Algebra 36
Chapter 2. Kac Algebras 44
2.1 An Overview of Weight Theory 45
2.2 Definitions 55
2.3 Towards the Fourier Representation 58
2.4 The Fundamental Operator W 60
2.5 Haar Weights Are Left Invariant 66
2.6 The Fundamental Operator W Is Unitary ... 71
2.1 Unicity of the Haar Weight 76
Chapter 3. Representations of a Kac Algebra;
Dual Kac Algebra 83
5.1 The Generator of a Representation 84
3.2 The Essential Property of the Representation A . 89
3.3 The Dual Co Involutive
Hopf Von Neumann Algebra 92
3.4 Eymard Algebra 97
3.5 Construction of the Dual Weight 101
3.6 Connection Relations and Consequences .... 104
3.7 The Dual Kac Algebra Ill
X Table of Contents
Chapter 4. Duality Theorems for Kac Algebras
and Locally Compact Groups 124
4.1 Duality of Kac Algebras 125
4 2 Takesaki s Theorem on Symmetric Kac Algebras . 130
4.8 Eymard s Duality Theorem
for Locally Compact Groups 136
44 The Kac Algebra KS(G) 140
4.5 Characterisation of the Representations
and Wendel s Theorem 144
4.6 Heisenberg s Pairing Operator 152
4.7 A Tatsuuma Type Theorem for Kac Algebra . . 158
Chapter 5. The Category of Kac Algebras 161
5.1 Kac Algebra Morphisms 162
5.2 ffl Morphisms of Kac Algebras 166
5.3 Strict M Morphisms 172
5.4 Preliminaries About Jordan Homomorphisms . . 174
5.5 Isometrics of the Preduals of Kac Algebras . . . 176
5.6 Isometries of Fourier Stieltjes Algebras .... 184
Chapter 6. Special Cases: Unimodular, Compact,
Discrete and Finite Dimensional Kac Algebras . . . 192
6.1 Unimodular Kac Algebras 193
6.2 Compact Type Kac Algebras 197
6.3 Discrete Type Kac Algebras 208
6.4 Krein s Duality Theorem 213
6.5 Characterisation of Compact Type Kac Algebras . 219
6.6 Finite Dimensional Kac Algebras 232
Postface 243
Bibliography 245
Index 255
|
| any_adam_object | 1 |
| author | Enock, Michel Schwartz, Jean-Marie |
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| author_variant | m e me j m s jms |
| building | Verbundindex |
| bvnumber | BV005858400 |
| classification_rvk | SK 260 SK 340 |
| classification_tum | MAT 173f MAT 223f |
| ctrlnum | (OCoLC)260144713 (DE-599)BVBBV005858400 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005858400 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:39:18Z |
| institution | BVB |
| isbn | 3540547452 0387547452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003670491 |
| oclc_num | 260144713 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-739 DE-824 DE-703 DE-29T DE-19 DE-BY-UBM DE-384 DE-706 DE-526 DE-634 DE-11 DE-188 DE-83 |
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| physical | X, 257 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Enock, Michel Schwartz, Jean-Marie Kac algebras and duality of locally compact groups Kac-Algebra (DE-588)4304563-7 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Dualität (DE-588)4013161-0 gnd |
| subject_GND | (DE-588)4304563-7 (DE-588)4168094-7 (DE-588)4013161-0 |
| title | Kac algebras and duality of locally compact groups |
| title_auth | Kac algebras and duality of locally compact groups |
| title_exact_search | Kac algebras and duality of locally compact groups |
| title_full | Kac algebras and duality of locally compact groups Michel Enock ; Jean-Marie Schwartz |
| title_fullStr | Kac algebras and duality of locally compact groups Michel Enock ; Jean-Marie Schwartz |
| title_full_unstemmed | Kac algebras and duality of locally compact groups Michel Enock ; Jean-Marie Schwartz |
| title_short | Kac algebras and duality of locally compact groups |
| title_sort | kac algebras and duality of locally compact groups |
| topic | Kac-Algebra (DE-588)4304563-7 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Dualität (DE-588)4013161-0 gnd |
| topic_facet | Kac-Algebra Lokal kompakte Gruppe Dualität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003670491&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT enockmichel kacalgebrasanddualityoflocallycompactgroups AT schwartzjeanmarie kacalgebrasanddualityoflocallycompactgroups |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 223f 2001 A 13390 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |