Abstract
We show that Matui's HK conjecture holds for groupoids of unstable equivalence relations and their corresponding -algebras on one-dimensional solenoids.
| Original language | English |
|---|---|
| Pages (from-to) | 105-117 |
| Number of pages | 13 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 101 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Feb 2020 |
Bibliographical note
Publisher Copyright:© 2019 Australian Mathematical Publishing Association Inc.
Keywords
- groupoid
- HK conjecture
- homology groups
- one-dimensional solenoid
- Smale space
- stable Ruelle algebra
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