Tensor Products of C*-Algebras and Operator Spaces

The Connes–Kirchberg Problem

Gilles Pisier author

Format:Hardback

Publisher:Cambridge University Press

Published:27th Feb '20

Currently unavailable, and unfortunately no date known when it will be back

This hardback is available in another edition too:

Tensor Products of C*-Algebras and Operator Spaces cover

Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.

This advanced volume of lecture notes presents an open problem at the frontier of research into operator algebra theory, based on the author's university lecture courses and written in a widely accessible style for researchers and Ph.D. students with little experience in the area.Based on the author's university lecture courses, this book presents the many facets of one of the most important open problems in operator algebra theory. Central to this book is the proof of the equivalence of the various forms of the problem, including forms involving C*-algebra tensor products and free groups, ultraproducts of von Neumann algebras, and quantum information theory. The reader is guided through a number of results (some of them previously unpublished) revolving around tensor products of C*-algebras and operator spaces, which are reminiscent of Grothendieck's famous Banach space theory work. The detailed style of the book and the inclusion of background information make it easily accessible for beginning researchers, Ph.D. students, and non-specialists alike.

'This is a very rich and detailed monograph on an enormously important subject. It is written in the crystal clear and elegant style that is the hallmark of its author, and it offers a lot of information to specialists and novices alike. The book will certainly become an authoritative guide.' Dirk Werner, London Mathematical Society Student Texts
'This book is jam packed with information, and should be an invaluable guide to anyone interested in these ideas … For the complete picture and the recent advances, Pisier's book is the place to go.' Bulletin of the American Mathematical Society

ISBN: 9781108479011

Dimensions: 234mm x 157mm x 32mm

Weight: 800g

494 pages