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The Haagerup invariant for tensor products of operator spaces

Published online by Cambridge University Press:  24 October 2008

Allan M. Sinclair  and
Roger R. Smith
Allan M. Sinclair
Affiliation:
Department of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ
Roger R. Smith
Affiliation:
Department of Mathematics, Texas A & M University, College Station, TX 77843, U.S.A
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Extract

In [7, 8] Haagerup introduced two isomorphism invariants and for C*-algebras and von Neumann algebras , based on appropriate forms of the completely bounded approximation property defined below. These definitions have obvious extensions to operator spaces and dual operator spaces respectively, and in [16] we established the multiplicativity of A on the ultraweakly closed spatial tensor product of two dual operator spaces and :

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 1 , July 1996 , pp. 147 - 153
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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