Periodic cyclic homology of certain nuclear algebras
K-Theory and Homology
2009-10-31 v1 Functional Analysis
Abstract
Relying of properties of the inductive tensor product, we construct cyclic type homology theories for certain nuclear algebras. In this context we establish continuity theorems. We compute the periodic cyclic homology of the Schwartz algebra of p-adic GL(n) in terms of compactly supported de Rham cohomology of the tempered dual of GL(n).
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Cite
@article{arxiv.math/9906003,
title = {Periodic cyclic homology of certain nuclear algebras},
author = {Jacek Brodzki and Roger Plymen},
journal= {arXiv preprint arXiv:math/9906003},
year = {2009}
}
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7 pages