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

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

2012-04-26

arxiv.org/abs/1204.5836v1

Mathematics

Operator Algebras

LaTeX 2e, 25 pages

Scientific paper

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.

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