Uniqueness and disjointness of Klyachko models

We show the uniqueness and disjointness of Klyachko models for GLn over a non-Archimedean local field. This completes, in particular, the study of Klyachko models on the unitary dual. Our local results imply a global rigidity property for the discrete automorphic spectrum of GLn. © 2008 Elsevier Inc. All rights reserved