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- W4287863339 abstract "Let $G$ be a real or $p$-adic reductive group. We consider the tempered dual of $G$, and its connected components. For real groups, Wassermann proved in 1987, by noncommutative-geometric methods, that each connected component has a simple geometric structure which encodes the reducibility of induced representations. For $p$-adic groups, each connected component of the tempered dual comes with a compact torus equipped with a finite group action, and we prove that a version of Wassermann's theorem holds true under a certain geometric assumption on the structure of stabilizers for that action. We then focus on the case where $G$ is a quasi-split symplectic, orthogonal or unitary group, and explicitly determine the connected components for which the geometric assumption is satisfied." @default.
- W4287863339 created "2022-07-26" @default.
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- W4287863339 date "2020-02-28" @default.
- W4287863339 modified "2023-10-17" @default.
- W4287863339 title "$C^ast$-blocks and crossed products for classical $p$-adic groups" @default.
- W4287863339 doi "https://doi.org/10.48550/arxiv.2002.12864" @default.
- W4287863339 hasPublicationYear "2020" @default.
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