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

Tsuyoshi Kajiwara, Yasuo Watatani

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2 Citations (Scopus)


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
Issue number6
Publication statusPublished - Apr 3 2013


All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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