A note on idempotents in finite AW*-factors-Reference-Cited by-同舟云学术

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A note on idempotents in finite AW*-factors

Published:2001-10-05 Issue:4 Volume:130 Page:1065-1071
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Nagy Gabriel

Abstract

We prove that the value of the quasi-trace on an idempotent element in an AW*-factor of type II 1 \text {II}_1 is the same as the dimension of its left (or right) support.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2002-130-04/S0002-9939-01-06315-8/S0002-9939-01-06315-8.pdf

Reference4 articles.

1. The regular ring of a finite Baer *-ring;Berberian, S. K.;J. Algebra,1972

2. Dimension functions and traces on 𝐶*-algebras;Blackadar, Bruce;J. Functional Analysis,1982

3. [Ha] U. Haagerup, Quasi-traces on exact C*-algebras are traces, Preprint, 1991

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