Open Access
July 2017 Toeplitz algebras arising from escape points of interval maps
C. Correia Ramos, Nuno Martins, Paulo R. Pinto
Banach J. Math. Anal. 11(3): 536-553 (July 2017). DOI: 10.1215/17358787-2017-0005


We generate a representation of the Toeplitz C*-algebra TAf on a Hilbert space Hx that encodes the orbit of an escape point xI 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.


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C. Correia Ramos. Nuno Martins. Paulo R. Pinto. "Toeplitz algebras arising from escape points of interval maps." Banach J. Math. Anal. 11 (3) 536 - 553, July 2017.


Received: 19 April 2016; Accepted: 23 August 2016; Published: July 2017
First available in Project Euclid: 29 April 2017

zbMATH: 1380.46049
MathSciNet: MR3679895
Digital Object Identifier: 10.1215/17358787-2017-0005

Primary: 46L55
Secondary: 37B10 , 37E05 , 46L05

Keywords: interval maps , orbit representations , Toeplitz algebra

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 3 • July 2017
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