When is the Ellis semigroup a complete conjugacy invariant?
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910268840214528 |
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| author | Kellendonk, Johannes Yassawi, Reem |
| author_facet | Kellendonk, Johannes Yassawi, Reem |
| contents | The Ellis semigroup of a topological dynamical system contains algebraic, topological and dynamical information. It is invariant under conjugacy. Despite this wealth of structure, two non-conjugate dynamical systems can have the same Ellis semigroup. We identify a class of minimal dynamical systems inside which this cannot happen, that is, for which the Ellis semigroup is a complete conjugacy invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29125 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | When is the Ellis semigroup a complete conjugacy invariant? Kellendonk, Johannes Yassawi, Reem Dynamical Systems 37B02, 37B10, 37B52, 20M10, 20M35 The Ellis semigroup of a topological dynamical system contains algebraic, topological and dynamical information. It is invariant under conjugacy. Despite this wealth of structure, two non-conjugate dynamical systems can have the same Ellis semigroup. We identify a class of minimal dynamical systems inside which this cannot happen, that is, for which the Ellis semigroup is a complete conjugacy invariant. |
| title | When is the Ellis semigroup a complete conjugacy invariant? |
| topic | Dynamical Systems 37B02, 37B10, 37B52, 20M10, 20M35 |
| url | https://arxiv.org/abs/2605.29125 |