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Tensor Products of C*-Algebras and Operator Spaces - The Connes-Kirchberg Problem (Hardcover)
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Tensor Products of C*-Algebras and Operator Spaces - The Connes-Kirchberg Problem (Hardcover)
Series: London Mathematical Society Student Texts
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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them previously unpublished) revolving around tensor products of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.
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