Abstract
Given a zero-one matrix A we consider certain one-parameter groups of automorphisms of the Cuntz-Krieger algebra $$ {\user1{\mathcal{O}}}_{A} $$ , generalizing the usual gauge group, and depending on a positive continuous function H defined on the Markov space ∑ A . The main result consists of an application of Ruelle’s Perron-Frobenius Theorem to show that these automorphism groups admit a single KMS state.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Bulletin of the Brazilian Mathematical Society, New Series
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.