Resumen de Hochschild and cyclic homology of finite type algebras

D. Kazhdan, V. Nistor, 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.