Date | Mar 15, 2017 |
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Speaker | 이인협 |

Dept. | 이화여자대학교 |

Room | 129-301 |

Time | 16:00-17:30 |

We show that if self-similar graph actions satisfy contracting and regular conditions, then the shift maps on the direct limit spaces of self-similar graph actions are positively expansive local homeomorphisms.

From this, we obtain that the limit solenoids of self-similar graph actions are Smale spaces and that the stable Ruelle algebras of the limit solenoids are strongly Morita equivalent to the Cuntz-Pimsner algebras constructed from self-similar graph actions by Exel and Pardo.

We also compute K-theory of the stable Ruelle algebras of the limit solenoids.

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