Geometry of the smooth dual of GL(n)

DOI10.1016/S0764-4442(00)01618-9zbMath0970.46002arXivmath/0007107MaRDI QIDQ4512866

Roger Plymen, Jacek Brodzki

Publication date: 16 October 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007107

zbMATH Keywords

de Rham cohomologyinjectiveHecke algebrasmooth dualperiodic cyclic homologydeformation retractLevi subgroupsupercuspidal representationtempered dualBernstein varietyequivalence classes of irreducible smooth representations

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

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