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Hochschild and cyclic homology of finite type algebras |
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| Authors: | D. Kazhdan V. Nistor P. Schneider |
| Affiliation: | (1) Harvard University, Math. Department, Cambridge, MA 02138, USA, e-mail: kazhdan@math.harvard.edu , US;(2) Pennsylvania State University, Math. Department, University Park, PA 16802, USA, e-mail: nistor@math.psu.edu, US;(3) WWU Münster, Math. Institut, Einsteinstr. 62, D-48149 Münster, Germany, e-mail: pschnei@math.uni-muenster.de, DE |
| Abstract: | We study Hochschild and cyclic homology of finite type algebras using abelian stratifications of their primitive ideal spectrum. Hochschild homology turns out to have a quite complicated behavior, but cyclic homology can be related directly to the singular cohomology of the strata. We also briefly discuss some connections with the representation theory of reductive p-adic groups. |
| Keywords: | . Hochschild homology cyclic homology p-adic groups de Rham cohomology. |
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