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 | |
| State | Published - Jan 1 1998 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Physics and Astronomy(all)
Cite this
}
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 journal › Article
TY - JOUR
T1 - Hochschild and cyclic homology of finite type algebras
AU - Kazhdan, David
AU - Nistor, Victor
AU - Schneider, Peter
PY - 1998/1/1
Y1 - 1998/1/1
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.
UR - http://www.scopus.com/inward/record.url?scp=54649083429&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=54649083429&partnerID=8YFLogxK
U2 - 10.1007/s000290050034
DO - 10.1007/s000290050034
M3 - Article
AN - SCOPUS:54649083429
VL - 4
SP - 321
EP - 359
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
SN - 1022-1824
IS - 2
ER -