MARC details
| 000 -LEADER |
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| fixed length control field |
02120 a2200265 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
P.HPTP |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241231115454.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
241202s2020 xxka|||| |||| 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781108479011 |
| Qualifying information |
hardback |
| 040 ## - CATALOGING SOURCE |
|---|
| Transcribing agency |
SPK HPTP |
| Original cataloging agency |
SF PAGOH |
| Language of cataloging |
eng |
| Modifying agency |
SF PAGOH |
| Description conventions |
rda |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA326 |
| Item number |
.P57 2020 |
| 039 ## - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| -- |
5560 |
| -- |
Nurhidayati Adila |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Pisier, Gilles, |
| Dates associated with a name |
1950- |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Tensor products of C*-algebras and operator spaces : |
| Remainder of title |
the Connes-Kirchberg problem / |
| Statement of responsibility, etc |
by Gilles Pisier. |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York : |
| Place of producer, publisher, distributer, manufacturer |
Cambridge University Press, |
| Date of production, publication, distrribution, manufacture, or copyright notice |
©2020. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
x, 484 pages: |
| Other physical details |
illustrations; |
| Dimensions |
24 cm |
| 336 ## - CONTENT TYPE |
|---|
| Source |
text |
| Content type term |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Source |
unmediated |
| Media type term |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Source |
volume |
| Carrier type term |
rdacarrier |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
LMST London Mathematical Society student texts |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
"These notes are centered around the equivalence of two major open problems: one formulated by Connes (1976), about traces and ultraproducts of von Neumann algebras, the other one by Kirchberg (1993) about tensor products of C* algebras. This leads us to emphasize the notion of nuclear pair, that is a pair of C*-algebras admitting a unique tensor product. The main example is the pair (B,C) formed of the algebra B of bounded operators on Hilbert space and the full group C*-algebra C of any free group. This leads naturally to the weak expectation property (WEP) and the local lifting property (LLP), which we extensively study in connection with the more classical notions of nuclearity and exactness, or local reflexivity for C* algebras. We include two new characterizations of the WEP due to Haagerup but unpublished. We show that B fails the LLP and that the minimal tensor product of B with itself fails the WEP. Several properties of random unitary matrices and random permutations play a crucial role. We show the equivalence of the two main questions with a famous open one about Banach spaces and with Tsirelson's well known open problem in quantum information theory"-- Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Operator spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
C*-algebras. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Item type |
Books - Printed |
| Source of classification or shelving scheme |
Library of Congress Classification |