BAUMSLAG–SOLITAR GROUP C∗-ALGEBRAS FROM INTERVAL MAPS
We yield operators U and V on Hilbert spaces that are parame- terized by the orbits of certain interval maps that exhibit chaotic behavior and obey the (deformed) Baumslag–Solitar relation UV =e2πiαVUn, α∈R, n∈N. We then prove that the scalar e2πiα can be removed whilst retaining the isomor- phism c...
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| Other Authors: | , , |
| Format: | article |
| Language: | eng |
| Published: |
2015
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10174/13078 |
| Country: | Portugal |
| Oai: | oai:dspace.uevora.pt:10174/13078 |
| Summary: | We yield operators U and V on Hilbert spaces that are parame- terized by the orbits of certain interval maps that exhibit chaotic behavior and obey the (deformed) Baumslag–Solitar relation UV =e2πiαVUn, α∈R, n∈N. We then prove that the scalar e2πiα can be removed whilst retaining the isomor- phism class of the C∗-algebra generated by U and V . Finally, we simultane- ously unitarize U and V by gluing pairs of orbits of the underlying noninvertible dynamical system and investigate these unitary representations under distinct pairs of orbits. |
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