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

Publisher： Cambridge University Press

E-ISSN： 1755-1633|75|2|229-238

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.75, Iss.2, 2007-04, pp. : 229-238

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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.

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