Traces on cores of C*-algebras associated with self-similar maps

Abstract

We completely classify the extreme tracial states onthe cores of the C*-algebras associated with self-similar maps on compact metric spaces. We present a complete list of them. The extreme tracial states are the union of the discrete type tracial states given by measures supported on the finite orbits of the branch points and a continuous type tracial state given by the Hutchinson measure on the original self-similar set.

LaTeX 2e, 25 pages

References in corpus (1)

• C^*-algebras associated with self-similar sets

Cited by in corpus (2)

• Ideals of the core of C*-algebras associated with self-similar maps
• C*-algebras associated with complex dynamical systems and backward orbit structure