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http://hdl.handle.net/10174/22771
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| Title: | Toeplitz algebras arising from escape points of interval maps |
| Authors: | Correia Ramos, Carlos
Martins, Nuno
Pinto, Paulo |
| Editors: | Moslehian, Mohammad |
| Issue Date: | 29-Apr-2017 |
| Publisher: | Banach J. Math. Anal. |
| Citation: | Correia Ramos, C.; Martins, Nuno; Pinto, Paulo R. Toeplitz algebras arising from escape points of interval maps. Banach J. Math. Anal. 11 (2017), no. 3, 536--553. doi:10.1215/17358787-2017-0005. https://projecteuclid.org/euclid.bjma/1493431219 |
| Abstract: | We generate a representation of the Toeplitz C∗-algebra TAf on a Hilbert space Hx that encodes the orbit of an escape point x∈I of a Markov interval map f, with transition matrix Af. This leads to a family of representations of TAf labeled by points in all intervals I. The underlying dynamics of the interval map are used in the study of this family. |
| URI: | https://projecteuclid.org/euclid.bjma/1493431219#info
http://hdl.handle.net/10174/22771 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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