Continuity of the Haar dual measure

Jean Renault

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arXiv · 2011.12020

Continuity of the Haar dual measure

Jean Renault

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Abstract

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 sytem of a continuous Haar system of a locally compact abelian group bundle is also continuous.

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Jean Renault. 2020-11-24. Continuity of the Haar dual measure. https://arxiv.org/abs/2011.12020

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