Articles liés à Tensor Products of C*-Algebras and Operator Spaces:...

Tensor Products of C*-Algebras and Operator Spaces: The Connes–Kirchberg Problem - Couverture souple

Livre 78 sur 83: London Mathematical Society Student Texts

Pisier, Gilles

 
9781108749114: Tensor Products of C*-Algebras and Operator Spaces: The Connes–Kirchberg Problem

Synopsis

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 The reader is guided through a number of results (some of them previously unpublished) revolving around tensor products of C*-algebras and operator spaces, which are reminiscent of Grothendieck's famous Banach space theory work.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

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À propos de l'auteur

Gilles Pisier is Emeritus Professor at Sorbonne Université and Distinguished Professor at Texas A & M University. He is the author of several books, including Introduction to Operator Space Theory (Cambridge, 2003) and Martingales in Banach Spaces (Cambridge, 2016). His multiple awards include the Salem prize in 1979 and the Ostrowski Prize in 1997, and he was the plenary speaker at the International Congress of Mathematicians in 1998.

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