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GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS

이인협
한국수학교육학회|2011.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제3호|pp. 261-268

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참고문헌

키워드

covering mapgroupoidminimal actionirreducible actionessentially free action.
주제분류수학

초록

For a compact Hausdor® space X with its p-fold covering map ¾, we construct its corresponding topological groupoid ¡, and show that there is a strong relation between the dynamical structures of (X; ¾) and the groupoid structures of ¡.

Abstract

For a compact Hausdor® space X with its p-fold covering map ¾, we construct its corresponding topological groupoid ¡, and show that there is a strong relation between the dynamical structures of (X; ¾) and the groupoid structures of ¡.

참고문헌 (8)

  1. L.G. Brown, "Stable isomorphism of hereditary subalgerbas of C*-algebras", Pacific J. Math, 71, pp.335~348 (1977)
  2. J. Cuntz, "A class of C*-algebras and topological Markov chains II: reducible chains and the Ext-functor for C*-algebras", Invent. Math, 63, pp.25~40 (1980)
  3. J. Cuntz, "A class of C*-algebras and topological Markov chains", Invent. Math, 56, pp.251~268 (1980)
  4. V. Deaconu, "Groupoids associated with endomorphisms", Trans. Amer. Math. Soc, 347, pp.1779~1786 (1995)
  5. A. Kumjian, "Preliminary algebras arising from local homeomorphisms", Math. Scand, 52, pp.269~278 (1983)
  6. W.L. Paschke, "K-theory for actions of the circle group on C*-algebras", J. Operator Theory, 6, pp.125~133 (1981)
  7. J. Renault, "A groupoid aproach to C*-algebras" (1980), Springer Verlag
  8. J. Tomiyama, "The interplay between topological dynamics and theory of C*-algebras. Lecture Note No. 2, Res. Inst. of Math. Global Analysis Research Center, Seoul National University, 1992", ~ (1992)

관련 논문AI추천

DYNAMICAL SYSTEMS AND GROUPOID ALGEBRAS ON HIGHER RANK GRAPHS이인협한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Monodromy groupoid of a local topological group-groupoidH. Fulya Akiz강원경기수학회 · 한국수학논문집2019 · 제27권 제2호C∗-ALGEBRA OF LOCAL CONJUGACY EQUIVALENCE RELATION ON STRONGLY IRREDUCIBLE SUBSHIFT OF FINITE TYPEChengjun Hou, Xiangqi Qiang대한수학회 · 대한수학회보2024 · 제61권 제1호Orbit equivalence on self-similar groups and their $C^*$-algebras이인협대한수학회 · 대한수학회지2020 · 제57권 제2호Topological complexity of semigroup actionsLianfa He, Xinhua Yan대한수학회 · 대한수학회지2008 · 제45권 제1호Continuous orbit equivalences on self-similar groups이인협대한수학회 · 대한수학회보2021 · 제58권 제1호

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