Continuity of the dual Haar measure

Jean N Renault (1)

1 IDP - Institut Denis Poisson

Given a locally compact group bundle, we show that the system of the Plancherel weights of their C*-algebras is lower semi-continuous. As a corollary, we obtain that the dual Haar system of a continuous Haar system of a locally compact abelian group bundle is also continuous.

Domains: Operator Algebras [math.OA]

Jean N Renault. Continuity of the dual Haar measure. 2021, ⟨10.5802/crmath.183⟩. ⟨hal-03116966⟩