Hochschild and cyclic homology of finite type algebras

David Kazhdan; Victor Nistor; Peter Schneider

doi:10.1007/s000290050034

Hochschild and cyclic homology of finite type algebras

David Kazhdan^*
, Victor Nistor
, Peter Schneider

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	321-359
Number of pages	39
Journal	Selecta Mathematica, New Series
Volume	4
Issue number	2
DOIs	https://doi.org/10.1007/s000290050034
State	Published - 1998
Externally published	Yes

Keywords

Cyclic homology
De Rharn cohomology
Hochschild homology
P-adic groups

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10.1007/s000290050034

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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.",

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AB - 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.

KW - Cyclic homology

KW - De Rharn cohomology

KW - Hochschild homology

KW - P-adic groups

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Hochschild and cyclic homology of finite type algebras

Abstract

Keywords

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