A theorem in the representation theory of totally disconnected groups
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- by Robert R. Kallman PDF
- Proc. Amer. Math. Soc. 45 (1974), 457-460 Request permission
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.References
- George W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576–592. MR 42420, DOI 10.2307/2372309
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 457-460
- MSC: Primary 22D10
- DOI: https://doi.org/10.1090/S0002-9939-1974-0364535-7
- MathSciNet review: 0364535