Compact abelian prime actions on von Neumann algebras

Thomsen, Klaus

doi:10.1090/S0002-9947-1989-0937252-5

Compact abelian prime actions on von Neumann algebras
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by Klaus Thomsen

Trans. Amer. Math. Soc. 315 (1989), 255-272

DOI: https://doi.org/10.1090/S0002-9947-1989-0937252-5

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Abstract:

We classify the compact abelian actions on semifinite injective von Neumann algebras with factor fixed point algebra. The method uses that the (nonzero) eigenspaces of such an action contain unitaries which give rise to a classifying invariant.

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