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Selecta Mathematica

, 4:321 | Cite as

Hochschild and cyclic homology of finite type algebras

  • D. Kazhdan
  • V. Nistor
  • P. Schneider
Article

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.

Key words. Hochschild homology, cyclic homology, p-adic groups, de Rham cohomology. 

Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • D. Kazhdan
    • 1
  • V. Nistor
    • 2
  • P. Schneider
    • 3
  1. 1.Harvard University, Math. Department, Cambridge, MA 02138, USA, e-mail: kazhdan@math.harvard.edu US
  2. 2.Pennsylvania State University, Math. Department, University Park, PA 16802, USA, e-mail: nistor@math.psu.eduUS
  3. 3.WWU Münster, Math. Institut, Einsteinstr. 62, D-48149 Münster, Germany, e-mail: pschnei@math.uni-muenster.deDE

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