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Inverse semigroups associated with one-dimensional generalized solenoids

Title
Inverse semigroups associated with one-dimensional generalized solenoids
Authors
Yi I.
Ewha Authors
이인협
SCOPUS Author ID
이인협scopus
Issue Date
2017
Journal Title
Semigroup Forum
ISSN
0037-1912JCR Link
Citation
pp. 1 - 24
Keywords
1-SolenoidBratteli–Vershik systemGroupoid of germsInverse semigroupSmale spaceTight groupoid
Publisher
Springer New York LLC
Indexed
SCIE; SCOPUS scopus
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 (Formula presented.)-algebras of inverse semigroups are strongly Morita equivalent to the unstable (Formula presented.)-algebras of 1-solenoids. © 2017 Springer Science+Business Media New York
DOI
10.1007/s00233-017-9860-y
Appears in Collections:
사범대학 > 수학교육과 > Journal papers
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