Generalized solenoids and C*-algebras

Valentin Deaconu

Vol. 190 (1999), No. 2, 247–260

DOI: 10.2140/pjm.1999.190.247

Abstract

We present the continuous graph approach for some generalizations of the Cuntz-Krieger algebras. These algebras are simple, nuclear, and purely infinite, with rich K-theory. They are tied with the dynamics of a shift on an infinite path space. Interesting examples occur when the vertex spaces are unions of tori, and the shift is not necessarily expansive. We also show how the algebra of a continuous graph could be thought as a Pimsner algebra.

Milestones

Received: 4 February 1998

Published: 1 October 1999