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Exact C*-Algebras, Tensor Products, and the Classification of Purely Infinite Algebras

Eberhard Kirchberg
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Eberhard Kirchberg: Humboldt-Universität zu Berlin, Mathematisches Institut

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 943-954 from Springer

Abstract: Abstract Our survey (and the reference list) does not reflect the history of tensor products of operator algebras. Here we make use of tensor product functors on the category of C-algebras as a unifying principle. An application of our theory to the classification problem of Elliott [13] can be found at the end of this paper. Throughout the paper algebra means C*-algebra and vN-algebra means von Neumann algebra. L (H) is the algebra of bounded operators on a Hilbert space of infinite dimension.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_87

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DOI: 10.1007/978-3-0348-9078-6_87

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