扭曲群C*-代数的局部等分假设

Pub Date : 2023-10-17 DOI:10.1007/s00233-023-10392-9

Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark, Kristin Courtney, Ying-Fen Lin, Kathryn McCormick, Jacqui Ramagge

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引用次数: 0

摘要

摘要本文给出了等价于局部紧化Hausdorff群G有效的判据。其中一个条件是G满足C*-代数局部对分假设;即，约化扭曲群C*-代数中的每一个归一化数在开对分上都是被支持的。正则化半群在我们的证明中起着重要的作用，就像循环群C*-代数中的正则化半群一样。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The local bisection hypothesis for twisted groupoid C*-algebras

Abstract In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid G being effective. One of these conditions is that G satisfies the C*-algebraic local bisection hypothesis ; that is, that every normaliser in the reduced twisted groupoid C*-algebra is supported on an open bisection. The semigroup of normalisers plays a fundamental role in our proof, as does the semigroup of normalisers in cyclic group C*-algebras.

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