论文标题

HAAR双重度量的连续性

Continuity of the Haar dual measure

论文作者

Renault, Jean

论文摘要

鉴于局部紧凑的组捆绑包,我们表明其C* - 代数的Plancherel权重的系统是半连续的较低的。作为推论,我们得到的是,局部紧凑的Abelian组束的连续HAAR系统的双HAAR系统也是连续的。

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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