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Tensor Products of C*-Algebras and Operator Spaces

Tensor Products of C*-Algebras and Operator Spaces : The Connes-Kirchberg Problem.

・ISBN 978-1-108-74911-4 paper GB£ 49.00

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お気に入り
電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-108-78208-1
著者・編者Pisier, Gilles,
シリーズLondon Mathematical Society Student Texts
出版社(Cambridge University Press, UK)
出版年月2020
ページ数494 pp.
言語ENG
ニュース番号<M25-9671>

解説

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 The reader is guided through a number of results (some of them previously unpublished) revolving around tensor products of C*-algebras and operator spaces, which are reminiscent of Grothendieck's famous Banach space theory work.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