Graph morphisms as groupoid actors
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911305309356032 |
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| author | de Castro, Gilles G. Meyer, Ralf |
| author_facet | de Castro, Gilles G. Meyer, Ralf |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06165 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graph morphisms as groupoid actors de Castro, Gilles G. Meyer, Ralf Operator Algebras 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. |
| title | Graph morphisms as groupoid actors |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2512.06165 |