Restriction to compact subgroups in the cyclic homology of reductive p-adic groups
K-Theory and Homology
2014-04-08 v4 Operator Algebras
Representation Theory
Abstract
Restriction of functions from a reductive p-adic group G to its compact subgroups defines an operator on the Hochschild and cyclic homology of the Hecke algebra of G. We study the commutation relations between this operator and others coming from representation theory: Jacquet functors, idempotents in the Bernstein centre, and characters of admissible representations.
Keywords
Cite
@article{arxiv.1301.0487,
title = {Restriction to compact subgroups in the cyclic homology of reductive p-adic groups},
author = {Tyrone Crisp},
journal= {arXiv preprint arXiv:1301.0487},
year = {2014}
}
Comments
27 pages. Added a new section. Some changes to numbering compared to the previous version