On Uniform Admissibility of Unitary and Smooth Representations
Abstract
Let $G$ be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of $G$ are uniformly admissible if and only if the irreducible smooth representations of $G$ are uniformly admissible. We also show that the latter property is inherited by finite-index subgroups and overgroups of $G$.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2018
- DOI:
- 10.48550/arXiv.1801.08719
- arXiv:
- arXiv:1801.08719
- Bibcode:
- 2018arXiv180108719F
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Group Theory;
- 22D10;
- 22D12
- E-Print:
- 7 pages