Williams' and Graded Equivalence Conjectures for small graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912115400376320 |
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| author | Hazrat, Roozbeh Pacheco, Elizabeth |
| author_facet | Hazrat, Roozbeh Pacheco, Elizabeth |
| contents | We prove what might have been expected: The Williams Conjecture in symbolic dynamics and Graded Morita Equivalence Conjecture for Leavitt/$C^*$-graph algebras hold for ``small graphs'', i.e., connected graphs with three vertices, no parallel edges, no sinks with no trivial hereditary and saturated subsets. Namely, two small graphs are shift equivalent if and only if they are strong shift equivalent if and only if their Leavitt/$C^*$-graph algebras are graded/equivariant Morita equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Williams' and Graded Equivalence Conjectures for small graphs Hazrat, Roozbeh Pacheco, Elizabeth Rings and Algebras Operator Algebras We prove what might have been expected: The Williams Conjecture in symbolic dynamics and Graded Morita Equivalence Conjecture for Leavitt/$C^*$-graph algebras hold for ``small graphs'', i.e., connected graphs with three vertices, no parallel edges, no sinks with no trivial hereditary and saturated subsets. Namely, two small graphs are shift equivalent if and only if they are strong shift equivalent if and only if their Leavitt/$C^*$-graph algebras are graded/equivariant Morita equivalent. |
| title | Williams' and Graded Equivalence Conjectures for small graphs |
| topic | Rings and Algebras Operator Algebras |
| url | https://arxiv.org/abs/2411.01741 |