Introduction to subfactors:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge Univ. Press
1997
|
| Series: | London Mathematica Society Lecture note series
234 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 162 S. |
| ISBN: | 0521584205 |
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MARC
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Record in the Search Index
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| adam_text |
LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES. 234 INTRODUCTION TO
SUBFACTORS V. JONES UNIVERSITY OF CALIFORNIA, BERKELEY V.S. SUNDER
INSTITUTE OF MATHEMATICAL SCIENCES, MADRAS 1 CAMBRIDGE UNIVERSITY PRESS
CONTENTS PREFACE IX ACKNOWLEDGEMENT XII 1 FACTORS 1 1.1 VON NEUMANN
ALGEBRAS AND FACTORS 1 1.2 THE STANDARD FORM 4 1.3 DISCRETE CROSSED
PRODUCTS " 7 1.4 EXAMPLES OF FACTORS 10 1.4.1 GROUP VON NEUMANN ALGEBRAS
10 1.4.2 CROSSED PRODUCTS OF COMMUTATIVE VON NEUMANN ALGEBRAS 12 1.4.3
INFINITE TENSOR PRODUCTS 17 2 SUBFACTORS AND INDEX * 19 2.1 THE
CLASSIFICATION OF MODULES 19 2.2 DIM M W 23 2.3 SUBFACTORS AND INDEX 28
3 SOME BASIC FACTS 33 3.1 THE BASIC CONSTRUCTION 33 3.2
FINITE-DIMENSIONAL INCLUSIONS 36 3.3 THE PROJECTIONS E N AND THE TOWER
41 4 THE PRINCIPAL AND DUAL GRAPHS 47 4.1 MORE ON BIMODULES 47 4.2 THE
PRINCIPAL GRAPHS 50 4.3 BASES 54 4.4 RELATIVE COMMUTANTS VS INTERTWINERS
59 5 COMMUTING SQUARES 65 5.1 THE PIMSNER-POPA INEQUALITY 65 5.2
EXAMPLES OF COMMUTING SQUARES 70 5.2.1 THE BRAID GROUP EXAMPLE 70 5.2.2
SPIN MODELS 71 5.2.3 VERTEX MODELS 71 5.3 BASIC CONSTRUCTION IN FINITE
DIMENSIONS 72 VN VIII CONTENTS 5.4 PATH ALGEBRAS 77 5.5 THE BIUNITARITY
CONDITION 80 5.6 CANONICAL COMMUTING SQUARES 89 5.7 OCNEANU COMPACTNESS
92 6 VERTEX AND SPIN MODELS 101 6.1 COMPUTING HIGHER RELATIVE COMMUTANTS
101 6.2 SOME EXAMPLES ILL 6.3 ON PERMUTATION VERTEX MODELS 115 6.4 A
DIAGRAMMATIC FORMULATION 122 APPENDIX 133 A.I CONCRETE AND ABSTRACT VON
NEUMANN ALGEBRAS 133 A.2 SEPARABLE PRE-DUALS, TOMITA-TAKESAKI THEOREM
134 A.3 SIMPLICITY OF FACTORS 135 A.4 SUBGROUPS AND SUBFACTORS 136 A.5
FROM SUBFACTORS TO KNOTS 141 BIBLIOGRAPHY 151 BIBLIOGRAPHICAL REMARKS
156 INDEX 160 |
| any_adam_object | 1 |
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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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| isbn | 0521584205 |
| language | English |
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| physical | XII, 162 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematica Society Lecture note series |
| series2 | London Mathematica Society Lecture note series |
| spelling | Jones, V. Verfasser aut Introduction to subfactors V. Jones ; V. S. Sunder Cambridge Cambridge Univ. Press 1997 XII, 162 S. txt rdacontent n rdamedia nc rdacarrier London Mathematica Society Lecture note series 234 Operator algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd rswk-swf Faktor Algebra (DE-588)4234581-9 gnd rswk-swf Von-Neumann-Algebra (DE-588)4388395-3 s Faktor Algebra (DE-588)4234581-9 s DE-604 Sunder, V. S. Verfasser aut London Mathematica Society Lecture note series 234 (DE-604)BV000000130 234 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009059475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jones, V. Sunder, V. S. Introduction to subfactors London Mathematica Society Lecture note series Operator algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd Faktor Algebra (DE-588)4234581-9 gnd |
| subject_GND | (DE-588)4388395-3 (DE-588)4234581-9 |
| title | Introduction to subfactors |
| title_auth | Introduction to subfactors |
| title_exact_search | Introduction to subfactors |
| title_full | Introduction to subfactors V. Jones ; V. S. Sunder |
| title_fullStr | Introduction to subfactors V. Jones ; V. S. Sunder |
| title_full_unstemmed | Introduction to subfactors V. Jones ; V. S. Sunder |
| title_short | Introduction to subfactors |
| title_sort | introduction to subfactors |
| topic | Operator algebras Von-Neumann-Algebra (DE-588)4388395-3 gnd Faktor Algebra (DE-588)4234581-9 gnd |
| topic_facet | Operator algebras Von-Neumann-Algebra Faktor Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009059475&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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