Cuntz-Krieger algebras associated with Fuchsian groups

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


For Fuchsian groups of the first kind containing parabolic elements, it is shown that the action on a suitable disconnection of the limit circle generates a Cuntz—Krieger C*-algebra. This clarifies and generalizes the situation of the subalgebra within O2, and provides a new proof of the simplicity and nuclearity of certain Cuntz—Krieger algebras. The proof relies on the Markov partition obtained from a suitable fundamental polygon for the group. Counter examples are given if an unsuitable fundamental polygon is used.

Original languageEnglish (US)
Pages (from-to)581-595
Number of pages15
JournalErgodic Theory and Dynamical Systems
Issue number3
StatePublished - Sep 1993

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


Dive into the research topics of 'Cuntz-Krieger algebras associated with Fuchsian groups'. Together they form a unique fingerprint.

Cite this