Hochschild and cyclic homology of finite type algebras

David Kazhdan, Victor Nistor, Peter Schneider

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)321-359
Number of pages39
JournalSelecta Mathematica, New Series
Volume4
Issue number2
DOIs
StatePublished - Jan 1 1998

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Cyclic Homology
Hochschild Homology
homology
Finite Type
algebra
Primitive Ideal
P-adic Groups
Algebra
Reductive Group
Stratification
Representation Theory
Cohomology
strata
stratification

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

Cite this

Kazhdan, David ; Nistor, Victor ; Schneider, Peter. / Hochschild and cyclic homology of finite type algebras. In: Selecta Mathematica, New Series. 1998 ; Vol. 4, No. 2. pp. 321-359.
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Hochschild and cyclic homology of finite type algebras. / Kazhdan, David; Nistor, Victor; Schneider, Peter.

In: Selecta Mathematica, New Series, Vol. 4, No. 2, 01.01.1998, p. 321-359.

Research output: Contribution to journalArticle

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