Restriction to compact subgroups in the cyclic homology of reductive\n p-adic groups

2013/01/03 by Tyrone Crisp, Crisp, Tyrone
Mathematics · #19D55 (Primary) 22E35 #46L80 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Operator Algebras (math.OA) #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1301.0487

openalex publication_date 2013/01/03 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

Restriction of functions from a reductive p-adic group G to its compact\nsubgroups defines an operator on the Hochschild and cyclic homology of the\nHecke algebra of G. We study the commutation relations between this operator\nand others coming from representation theory: Jacquet functors, idempotents in\nthe Bernstein centre, and characters of admissible representations.\n

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