Description of the Real von Neumann Algebras with Abelian Skew-Symmetric Part

Author： Ayupov S.A.  

Publisher： Springer Publishing Company

ISSN： 0016-2663

Source： Functional Analysis and Its Applications, Vol.36, Iss.2, 2002-04, pp. : 145-147

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Abstract

In this note we describe (up to isomorphism) the real von Neiman algebras R with Abelian skew-symmetric part R_k={xin R:x^*=-x}, i.e., such that xy-yx=0 for any x,yin R_k.

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