作为类群角色的图态射

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2026-03-30 DOI:10.1112/blms.70339

Gilles G. de Castro, Ralf Meyer

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引用次数: 0

摘要

我们用等分的形式描述了从图C *$ \textup C^*$ -代数的基础群类群到另一个变群类群的适当角色。这使得我们可以更概念化地理解图态和它们所引出的*-同态。更一般地说，我们从类群对应于任何可变类群的类群模型中描述参与者。这还包括与自相似组和自相似图相关联的类群。

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Graph morphisms as groupoid actors

We describe proper actors from the underlying groupoid of a graph $C^{*}$ -algebra to another étale groupoid in terms of bisections. This allows to understand graph morphisms and the *-homomorphisms that they induce more conceptually. More generally, we describe actors from the groupoid model of a groupoid correspondence to any étale groupoid. This also covers the groupoids associated to self-similar groups and self-similar graphs, among others.

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