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Non-Isomorphic Tensor Products of Von Neumann Algebras

Published online by Cambridge University Press:  20 November 2018

J. J. Williams
J. J. Williams*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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This paper investigates special conditions under which the tensor product of two von Neumann algebras will be non-isomorphic to the tensor product of two others. The main tools are the algebraic invariants property Λx (x ≧ 0) (first defined by Powers [18]) and the r∞ and ρ sets (defined by Araki and Woods [3]).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 492 - 512
Copyright
Copyright © Canadian Mathematical Society 1974

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