Availability: Kac algebras and duality of locally compact groups

Kac algebras and duality of locally compact groups:

Saved in:

Bibliographic Details
Main Authors:	Enock, Michel (Author), Schwartz, Jean-Marie (Author)
Format:	Book
Language:	English
Published:	Berlin u.a. Springer 1992
Subjects:	Kac-Algebra Lokal kompakte Gruppe Dualität
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
Physical Description:	X, 257 S.
ISBN:	3540547452 0387547452

Staff View

MARC


LEADER	00000nam a2200000 c 4500
001	BV005858400
003	DE-604
005	19931012
007	t\|
008	921019s1992 gw \|\|\|\| 00\|\|\| eng d
020			\|a 3540547452 \|9 3-540-54745-2
020			\|a 0387547452 \|9 0-387-54745-2
035			\|a (OCoLC)260144713
035			\|a (DE-599)BVBBV005858400
040			\|a DE-604 \|b ger \|e rakddb
041	0		\|a eng
044			\|a gw \|c DE
049			\|a DE-12 \|a DE-91G \|a DE-739 \|a DE-824 \|a DE-703 \|a DE-29T \|a DE-19 \|a DE-384 \|a DE-706 \|a DE-526 \|a DE-634 \|a DE-11 \|a DE-188 \|a DE-83
084			\|a SK 260 \|0 (DE-625)143227: \|2 rvk
084			\|a SK 340 \|0 (DE-625)143232: \|2 rvk
084			\|a 16W30 \|2 msc
084			\|a 43A30 \|2 msc
084			\|a 22D35 \|2 msc
084			\|a MAT 173f \|2 stub
084			\|a 22D25 \|2 msc
084			\|a MAT 223f \|2 stub
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
650	0	7	\|a Lokal kompakte Gruppe \|0 (DE-588)4168094-7 \|2 gnd \|9 rswk-swf
650	0	7	\|a Dualität \|0 (DE-588)4013161-0 \|2 gnd \|9 rswk-swf
689	0	0	\|a Lokal kompakte Gruppe \|0 (DE-588)4168094-7 \|D s
689	0	1	\|a Dualität \|0 (DE-588)4013161-0 \|D s
689	0	2	\|a Kac-Algebra \|0 (DE-588)4304563-7 \|D s
689	0		\|5 DE-604
700	1		\|a Schwartz, Jean-Marie \|e Verfasser \|4 aut
856	4	2	\|m HBZ Datenaustausch \|q application/pdf \|u 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 \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-003670491

Record in the Search Index

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
author_GND	(DE-588)113258658
author_facet	Enock, Michel Schwartz, Jean-Marie
author_role	aut aut
author_sort	Enock, Michel
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
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01839nam a2200481 c 4500</leader><controlfield tag="001">BV005858400</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19931012 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">921019s1992 gw \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540547452</subfield><subfield code="9">3-540-54745-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387547452</subfield><subfield code="9">0-387-54745-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)260144713</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV005858400</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-526</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="0">(DE-625)143227:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">16W30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">43A30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">22D35</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 173f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">22D25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 223f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Enock, Michel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113258658</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Kac algebras and duality of locally compact groups</subfield><subfield code="c">Michel Enock ; Jean-Marie Schwartz</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin u.a.</subfield><subfield code="b">Springer</subfield><subfield code="c">1992</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 257 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kac-Algebra</subfield><subfield code="0">(DE-588)4304563-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lokal kompakte Gruppe</subfield><subfield code="0">(DE-588)4168094-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dualität</subfield><subfield code="0">(DE-588)4013161-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lokal kompakte Gruppe</subfield><subfield code="0">(DE-588)4168094-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Dualität</subfield><subfield code="0">(DE-588)4013161-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kac-Algebra</subfield><subfield code="0">(DE-588)4304563-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schwartz, Jean-Marie</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003670491</subfield></datafield></record></collection>
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
owner_facet	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
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

Availability

Order (Login required)

Table of Contents
Order paper/chapter scan

Branch Library Mathematics & Informatics

Holdings details from Teilbibliothek Mathematik & Informatik
Call Number:	0102 MAT 223f 2001 A 13390 Floor plan
Copy 1	Available for loan On Shelf