Periodic cyclic homology of certain nuclear algebras

DOI10.1016/S0764-4442(00)88215-4zbMath0955.46041arXivmath/9906003MaRDI QIDQ4719251

Roger Plymen, Jacek Brodzki

Publication date: 21 February 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/9906003

zbMATH Keywords

de Rham cohomologystrict inductive limitSchwartz algebrainductive tensor producttempered dualcomplete Hausdorff nuclear locally convex algebracyclic type homology theoriesnuclear Fréchet algebras

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

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Cyclic-type cohomology of strict inductive limits of Fréchet algebras ⋮ D-branes, RR-fields and duality on noncommutative manifolds ⋮ Reduced \(C ^{*}\)-algebra of the \(p\)-adic group \(GL(n)\). II

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