A theorem in the representation theory of totally disconnected groups
Abstract: We prove that certain von Neumann algebras naturally associated with specific direct summands of the left regular representation of a unimodular totally disconnected group are finite von Neumann algebras. The Lie group analogue of this result is false.
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Keywords: Unitary representations of locally compact groups, von Neumann algebras
Article copyright: © Copyright 1974 American Mathematical Society