Essential central range and selfadjoint commutators in properly infinite von Neumann algebras-Reference-Cited by-同舟云学术

Essential central range and selfadjoint commutators in properly infinite von Neumann algebras

Published:1977 Issue:0 Volume:228 Page:117-146
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Halpern Herbert

Abstract

The essential central range of an element A of a von Neumann algebra with respect to a central ideal is characterized as those elements arbitrarily close to the compression of A to a subspace large with respect to the ideal. The selfadjoint commutators in a properly infinite algebra are shown to be the elements whose essential central ranges with respect to the strong radical contain 0.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1977-228-00/S0002-9947-1977-0430802-9/S0002-9947-1977-0430802-9.pdf

Reference16 articles.

1. Joel Anderson, Derivations, commutators and the essential numerical range, Thesis, Indiana Univ., 1971.

2. Commutators and compressions;Anderson, J. H.;Israel J. Math.,1971

3. Structure of commutators of operators;Brown, Arlen;Ann. of Math. (2),1965

4. Commutators in factors of type III;Brown, Arlen;Canadian J. Math.,1966

5. On a certain type of commutator;David, Mendel;J. Math. Mech.,1969

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