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Self-Similar Inverse Semigroups from Wieler Solenoids

Title
Self-Similar Inverse Semigroups from Wieler Solenoids
Authors
Yi, Inhyeop
Ewha Authors
이인협
SCOPUS Author ID
이인협scopus
Issue Date
2020
Journal Title
MATHEMATICS
ISSN
2227-7390JCR Link
Citation
MATHEMATICS vol. 8, no. 2
Keywords
Smale spaceWieler solenoidself-similar inverse semigrouplimit solenoidgroupoid of germstight groupoidunstable C-algebra
Publisher
MDPI
Indexed
SCIE; SCOPUS WOS
Document Type
Article
Abstract
Wieler showed that every irreducible Smale space with totally disconnected local stable sets is an inverse limit system, called a Wieler solenoid. We study self-similar inverse semigroups defined by s-resolving factor maps of Wieler solenoids. We show that the groupoids of germs and the tight groupoids of these inverse semigroups are equivalent to the unstable groupoids of Wieler solenoids. We also show that the <mml:semantics>C</mml:semantics>-algebras of the groupoids of germs have a unique tracial state.
DOI
10.3390/math8020266
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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