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DYNAMICAL SYSTEMS AND GROUPOID ALGEBRAS ON HIGHER RANK GRAPHS

이인협
한국수학교육학회|2012.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제2호|pp. 199-209|DOI http://dx.doi.org/10.7468/jksmeb.2012.19.2.199

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참고문헌

키워드

higher rank graphspath groupoidgroupoid algebra.
주제분류수학

초록

For a locally compact higher rank graph ∧,we construct a two-sided path space ∧(△)with shift homeomorphism ¾ and its corresponding path groupoid Γ.Then we ¯nd equivalent conditions of aperiodicity, cofinality and irreducibility of ¤ in (∧(△), δ),¡, and the groupoid algebra C(*}(Γ).

Abstract

For a locally compact higher rank graph ∧,we construct a two-sided path space ∧(△)with shift homeomorphism ¾ and its corresponding path groupoid Γ.Then we ¯nd equivalent conditions of aperiodicity, cofinality and irreducibility of ¤ in (∧(△), δ),¡, and the groupoid algebra C(*}(Γ).

참고문헌 (8)

  1. J. Cuntz, "A class of C¤-algebras and topological Markov chains Invent", Math, 56, pp.251~268 (1980)
  2. V. Deaconu, "Groupoids associated with endomorphisms", Trans. Amer. Math. Soc, 347, pp.1779~1786 (1995)
  3. A. Kumjian, "Higher rank graph C¤-algebras", New York J. Math, 6, pp.1~20 (2001)
  4. A. Kumjian, "Actions of Zk associated to higher rank graphs", Ergod. Th. and Dynam. Sys, 23, pp.1153~1172 (2003)
  5. J. Renault, "A groupoid approach to C¤-algebras" (1980), Springer-Verlag
  6. C. Robinson, "Dynamical system: Stability, Symbolic dynamics and Chaos" (1995), CRC Press
  7. J. Tomiyama, "The interplay between topological dynamics and theory of C¤-algberas", Lecture Notes Series 2, Res. Inst. Math. and GARC, Seoul Nat'l Univ, ~ (1992)
  8. Inhyeop Yi, "GROUPOID ALGEBRAS ASSOCIATED WITH COVERING MAPS", 순수 및 응용수학, 18(3), pp.261~268 (2011), 한국수학교육학회

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