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

Tsuyoshi Kajiwara, Yasuo Watatani

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    We completely classify the extreme tracial states on the 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.

    Original languageEnglish
    Pages (from-to)1964-1989
    Number of pages26
    JournalErgodic Theory and Dynamical Systems
    Volume34
    Issue number6
    DOIs
    Publication statusPublished - Apr 3 2013

    All Science Journal Classification (ASJC) codes

    • General Mathematics
    • Applied Mathematics

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