Inverse semigroups associated with one-dimensional generalized solenoids
- 주제(키워드) 1-Solenoid , Bratteli–Vershik system , Groupoid of germs , Inverse semigroup , Smale space , Tight groupoid
- 등재 SCIE, SCOPUS
- 발행기관 Springer New York LLC
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000150054
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00233-017-9860-y
초록/요약
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. © 2017, Springer Science+Business Media New York.
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