Relative ultragraph algebras and infinite interval maps
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914009106612224 |
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| author | Eidt, Ben-Hur Gonçalves, Daniel Royer, Danilo |
| author_facet | Eidt, Ben-Hur Gonçalves, Daniel Royer, Danilo |
| contents | In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching systems,to this relative setting. This new concept is closely connected to, and indeed motivated by, the dynamics of certain interval maps that we call infinite Markov maps. The central point is that these algebras provide the natural framework in which representations induced by such maps are defined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative ultragraph algebras and infinite interval maps Eidt, Ben-Hur Gonçalves, Daniel Royer, Danilo Operator Algebras Primary 46L05, 37E05, Secondary 37E10 In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching systems,to this relative setting. This new concept is closely connected to, and indeed motivated by, the dynamics of certain interval maps that we call infinite Markov maps. The central point is that these algebras provide the natural framework in which representations induced by such maps are defined. |
| title | Relative ultragraph algebras and infinite interval maps |
| topic | Operator Algebras Primary 46L05, 37E05, Secondary 37E10 |
| url | https://arxiv.org/abs/2508.19835 |