Hochschild and cyclic homology of finite type algebras, by David Kazhdan, Victor Nistor, and Peter Schneider

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.


David Kazhdan <kazhdan@math.harvard.edu>
Victor Nistor <nistor@math.psu.edu>
Peter Schneider <pschnei@math.uni-muenster.de>