The type of group measure space von Neumann algebras |
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Authors: | Marc A Rieffel |
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Institution: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, U.S.A. |
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Abstract: | LetG be a countable discrete group acting by measure-preserving automorphisms of a finite measure space (M, ) and let
(G,M) be the corresponding group measure space von Neumann algebra, which will be a finite von Neumann algebra. Necessary and sufficient conditions are given for
(G,M) to have a non-zero type I part, and the projection on the type I part is explicitly described.This research was supported in part by National Science Foundation Grant MCS 74-19876. |
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