Tensor Products of C*-Algebras and Operator Spaces: The Connes-Kirchberg Problem (London Mathematical Society Student Texts #96) (Paperback)

Tensor Products of C*-Algebras and Operator Spaces: The Connes-Kirchberg Problem (London Mathematical Society Student Texts #96) By Gilles Pisier Cover Image

Tensor Products of C*-Algebras and Operator Spaces: The Connes-Kirchberg Problem (London Mathematical Society Student Texts #96) (Paperback)

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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 The reader is guided through a number of results (some of them previously unpublished) revolving around tensor products of C*-algebras and operator spaces, which are reminiscent of Grothendieck's famous Banach space theory work.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 Details ISBN: 9781108749114
ISBN-10: 1108749119
Publisher: Cambridge University Press
Publication Date: April 2nd, 2020
Pages: 494
Language: English
Series: London Mathematical Society Student Texts