Tensor Products of C*-Algebras and Operator Spaces - pr_1749558

Tensor Products of C*-Algebras and Operator Spaces

The Connes-Kirchberg Problem

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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 The reader is guided through a number of results (some of them previously unpublished) revolving around tensor products of C*-algebras and operator spaces, which are reminiscent of Grothendieck's famous Banach space theory work.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.

Product code: 9781108749114

ISBN 9781108749114
Series London Mathematical Society Student Texts
Dimensions (HxWxD in mm) H227xW153xS27
No. Of Pages 494
Publisher Cambridge University Press
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.