Recursive subhomogeneity of orbit-breaking subalgebras of $\mathrm{C}^*$-algebras associated to minimal homeomorphisms twisted by line bundles
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913760549011456 |
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| author | Forough, Marzieh Jeong, Ja A Strung, Karen R. |
| author_facet | Forough, Marzieh Jeong, Ja A Strung, Karen R. |
| contents | In this paper, we construct a recursive subhomogeneous decomposition for the Cuntz--Pimsner algebras obtained from breaking the orbit of a minimal Hilbert $C(X)$-bimodule at a subset $Y \subset X$ with non-empty interior. This generalizes the known recursive subhomogeneous decomposition for orbit-breaking subalgebras of crossed products by minimal homeomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07424 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Recursive subhomogeneity of orbit-breaking subalgebras of $\mathrm{C}^*$-algebras associated to minimal homeomorphisms twisted by line bundles Forough, Marzieh Jeong, Ja A Strung, Karen R. Operator Algebras Dynamical Systems 46L35, 46L85, 46H25, 37B05 In this paper, we construct a recursive subhomogeneous decomposition for the Cuntz--Pimsner algebras obtained from breaking the orbit of a minimal Hilbert $C(X)$-bimodule at a subset $Y \subset X$ with non-empty interior. This generalizes the known recursive subhomogeneous decomposition for orbit-breaking subalgebras of crossed products by minimal homeomorphisms. |
| title | Recursive subhomogeneity of orbit-breaking subalgebras of $\mathrm{C}^*$-algebras associated to minimal homeomorphisms twisted by line bundles |
| topic | Operator Algebras Dynamical Systems 46L35, 46L85, 46H25, 37B05 |
| url | https://arxiv.org/abs/2410.07424 |