Types and unitary representations of reductive p-adic groups.

Author: 

Ciubotaru, D

Publication Date: 

January 2018

Journal: 

Inventiones mathematicae

Last Updated: 

2019-08-17T20:30:44+01:00

Issue: 

1

Volume: 

213

DOI: 

10.1007/s00222-018-0790-4

page: 

237-269

abstract: 

We prove that for every Bushnell-Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces a bijection between irreducible unitary representations in the two categories. Moreover, we show that every irreducible smooth G-representation contains a rigid type. This is a generalization of the unitarity criterion of Barbasch and Moy for representations with Iwahori fixed vectors.

Symplectic id: 

708979

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article