Hochschild and cyclic homology of finite type algebras | Zendy

David Kazhdan | Zendy; Victor Nistor | Zendy; Peter Schneider | Zendy

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Hochschild and cyclic homology of finite type algebras

Author(s) -

David Kazhdan,

Victor Nistor,

Peter Schneider

Publication year - 1998

Publication title -

selecta mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.621

H-Index - 49

eISSN - 1420-9020

pISSN - 1022-1824

DOI - 10.1007/s000290050034

Subject(s) - hochschild homology , cyclic homology , mathematics , cohomology , pure mathematics , homology (biology) , cellular homology , abelian group , singular homology , mayer–vietoris sequence , algebra over a field , de rham cohomology , amino acid , equivariant cohomology , biology , genetics

We study Hochschild and cyclic homology of nite type algebras using abelian stratications of their primitive ideal spectrum. Hochschild ho- mology turns out to have a quite complicated behavior, but cyclic homology can be related directly to the singular cohomology of the strata. We also briey discuss some connections with the representation theory of reductive p{adic groups.

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