Extension problems and non-abelian duality for C*-algebras

Authors

Astrid an Huef, University of New South Wales
S Kaliszewski, University of Newcastle
Iain Raeburn, University of WollongongFollow

RIS ID

19250

Publication Details

an Huef, A., Kaliszewski, S. & Raeburn, I. (2007). Extension problems and non-abelian duality for C*-algebras. Bulletin of the Australian Mathematical Society, 75 (2), 229-238.

Abstract

Suppose that H is a closed subgroup of a locally compact group G. We show that a unitary representation U of H is the restriction of a unitary representation of G if and only if a dual representation Û of a crossed product C*(G) (G/H) is regular in an appropriate sense. We then discuss the problem of deciding whether a given representation is regular; we believe that this problem will prove to be an interesting test question in non-Abelian duality for crossed products of C*-algebras.