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. Copyright Clearance Centre, Inc.
|Original language||English (US)|
|Number of pages||10|
|Journal||Bulletin of the Australian Mathematical Society|
|State||Published - Apr 2007|
ASJC Scopus subject areas