Abstract
In this paper, we study inverse semigroups defined on the Bratteli–Vershik systems and SFT covers of 1-solenoids. We show that groupoids of germs of these inverse semigroups are equivalent to the unstable equivalence groupoids of 1-solenoids. Then we prove that Exel’s tight C∗-algebras of inverse semigroups are strongly Morita equivalent to the unstable C∗-algebras of 1-solenoids.
Original language | English |
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Pages (from-to) | 81-104 |
Number of pages | 24 |
Journal | Semigroup Forum |
Volume | 96 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 2018 |
Bibliographical note
Publisher Copyright:© 2017, Springer Science+Business Media New York.
Keywords
- 1-Solenoid
- Bratteli–Vershik system
- Groupoid of germs
- Inverse semigroup
- Smale space
- Tight groupoid