CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS-Reference-Cited by-同舟云学术

CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS

Published:2008-01 Issue:01 Volume:19 Page:47-70
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

CARLSEN TOKE MEIER¹

Affiliation:

1. Institut for Matematiske Fag, Københavns Universitet, Universitetsparken 5, 2100 København Ø, Denmark

Abstract

By using C*-correspondences and Cuntz–Pimsner algebras, we associate to every subshift (also called a shift space) 𝖷 a C*-algebra [Formula: see text], which is a generalization of the Cuntz–Krieger algebras. We show that [Formula: see text] is the universal C*-algebra generated by partial isometries satisfying relations given by 𝖷. We also show that [Formula: see text] is a one-sided conjugacy invariant of 𝖷.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X0800456X

Reference22 articles.

1. Orbit equivalence, flow equivalence and ordered cohomology

2. Some remarks on the $C^*$-algebras associated with subshifts

3. C*-crossed products and shift spaces

4. A class ofC *-algebras and topological Markov chains

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