在开阿贝尔各向同性上支持的函数的模上半连续性。“群形的重建和动力系统的C - C -刚性”的勘误[Adv. Math. 390 (2021) 107923]

IF 1.5 1区数学 Q1 MATHEMATICS Advances in Mathematics Pub Date : 2025-04-01 Epub Date: 2025-02-20 DOI:10.1016/j.aim.2025.110150

Toke Meier Carlsen , Anna Duwenig , Efren Ruiz , Aidan Sims

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引用次数: 0

摘要

我们考虑各向同性内部为阿贝尔的 Hausdorff群。我们证明了支持包含在各向同性内部的约化类群C -代数的元素在正则表示下的象的范数在上半连续变化。这将纠正[2]中的一个错误。

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Norm upper-semicontinuity of functions supported on open abelian isotropy in étale groupoids. Corrigendum to “Reconstruction of groupoids and C⁎-rigidity of dynamical systems” [Adv. Math. 390 (2021) 107923]

We consider étale Hausdorff groupoids in which the interior of the isotropy is abelian. We prove that the norms of the images under regular representations, of elements of the reduced groupoid

C^{⁎}

-algebra whose supports are contained in the interior of the isotropy vary upper semicontinuously. This corrects an error in [2].

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.