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

Mathematics

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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.

Original language	English (US)
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

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

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10.1007/s000290050034

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title = "Hochschild and cyclic homology of finite type algebras",

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.",

author = "David Kazhdan and Victor Nistor and Peter Schneider",

note = "Funding Information: D. Kazhdan is partially supported by DMS-9622742 and other NSF Grants. V. Nistor is partially supported by a NSF Young Investigator Award DMS-9457859 and a Sloan Research Fellowship. Manuscripts are available from http://www.math.psu.edu/nistor/ and http://www.uni-muenster.de/math/u/schneider/",

year = "1998",

doi = "10.1007/s000290050034",

language = "English (US)",

volume = "4",

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journal = "Selecta Mathematica, New Series",

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T1 - Hochschild and cyclic homology of finite type algebras

AU - Kazhdan, David

AU - Nistor, Victor

AU - Schneider, Peter

N1 - Funding Information: D. Kazhdan is partially supported by DMS-9622742 and other NSF Grants. V. Nistor is partially supported by a NSF Young Investigator Award DMS-9457859 and a Sloan Research Fellowship. Manuscripts are available from http://www.math.psu.edu/nistor/ and http://www.uni-muenster.de/math/u/schneider/

PY - 1998

Y1 - 1998

N2 - 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.

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.

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DO - 10.1007/s000290050034

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JO - Selecta Mathematica, New Series

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SN - 1022-1824

IS - 2

ER -

Hochschild and cyclic homology of finite type algebras

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