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Authors: Correia Ramos, Carlos
El Harti, R
Martins, Nuno
Pinto, Paulo. R.
Editors: Sal Moslehian, Mohammad
Keywords: Group C∗-algebras, representations of C∗-algebras
symbolic dynamics, interval maps.
Issue Date: 30-May-2014
Publisher: Tusi Mathematical Research Group
Citation: Correia Ramos, C.; El Harti, R.; Martins, Nuno; Pinto, Paulo R. Baumslag-Solitar group C*-algebras from interval maps. Banach J. Math. Anal. 8 (2014), no. 1, 138--147.
Abstract: 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.
Type: article
Appears in Collections:PED - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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