Title

Representations Of Cuntz Algebras Associated To Quasi-Stationary Markov Measures

Abstract

In this paper, we answer the question of equivalence, or singularity, of two given quasi-stationary Markov measures on one-sided infinite words, as well as the corresponding question of equivalence of associated Cuntz algebra-representations. We do this by associating certain monic representations of to quasi-stationary Markov measures and then proving that equivalence for a pair of measures is decided by unitary equivalence of the corresponding pair of representations.

Publication Date

7-3-2014

Publication Title

Ergodic Theory and Dynamical Systems

Volume

35

Issue

7

Number of Pages

2080-2093

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1017/etds.2014.37

Socpus ID

84941168142 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84941168142

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