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Volumn 110, Issue 2, 2008, Pages 409-429

Full groups, flip conjugacy, and orbit equivalence of cantor minimal systems

Author keywords

Cantor set; Commutator; Full groups; Involution; Minimal homeomorphism

Indexed keywords


EID: 85017098661     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm110-2-6     Document Type: Article
Times cited : (39)

References (22)
  • 1
    • 22544469535 scopus 로고    scopus 로고
    • Measures on Cantor space
    • E. Akin, Measures on Cantor space, Topology Proc. 24 (1999), 1–34.
    • (1999) Topology Proc , vol.24 , pp. 1-34
    • Akin, E.1
  • 2
    • 0001608368 scopus 로고
    • The algebraic simplicity of certain groups of homeomorphisms, Amer
    • R. D. Anderson, The algebraic simplicity of certain groups of homeomorphisms, Amer. J. Math. 80 (1958), 955–963.
    • (1958) J. Math , vol.80 , pp. 955-963
    • Anderson, R.D.1
  • 4
    • 26444542503 scopus 로고    scopus 로고
    • The Rokhlin lemma for homeomor- phisms of a Cantor set
    • S. Bezuglyi, A. Dooley and K. Medynets, The Rokhlin lemma for homeomor- phisms of a Cantor set, Proc. Amer. Math. Soc. 133 (2005), 2957–2964.
    • (2005) Proc. Amer. Math. Soc , vol.133 , pp. 2957-2964
    • Bezuglyi, S.1    Dooley, A.2    Medynets, K.3
  • 5
    • 17144430610 scopus 로고    scopus 로고
    • The topological full group of a Cantor minimal system is dense in the full group
    • S. Bezuglyi and J. Kwiatkowski, The topological full group of a Cantor minimal system is dense in the full group, Topol. Methods Nonlinear Anal. 16 (2000), 371–397.
    • (2000) Topol. Methods Nonlinear Anal , vol.16 , pp. 371-397
    • Bezuglyi, S.1    Kwiatkowski, J.2
  • 8
    • 0000987652 scopus 로고
    • On groups of measure preserving transformations, I
    • H. A. Dye, On groups of measure preserving transformations, I, Amer. J. Math. 81 (1959), 119–159.
    • (1959) Amer. J. Math , vol.81 , pp. 119-159
    • Dye, H.A.1
  • 9
    • 0000573518 scopus 로고
    • On groups of measure preserving transformations, II
    • H. A. Dye, On groups of measure preserving transformations, II, Amer. J. Math. 85 (1963), 551–576.
    • (1963) Amer. J. Math , vol.85 , pp. 551-576
    • Dye, H.A.1
  • 10
    • 51249186804 scopus 로고
    • On the simplicity of the full group of ergodic transformations, Israel
    • S. J. Eigen, On the simplicity of the full group of ergodic transformations, Israel J. Math. 40 (1981), 345–349.
    • (1981) J. Math , vol.40 , pp. 345-349
    • Eigen, S.J.1
  • 11
    • 0040408045 scopus 로고
    • The group of measure-preserving transformations of [0, 1] has no outer automorphisms
    • S. J. Eigen, The group of measure-preserving transformations of [0, 1] has no outer automorphisms, Math. Ann. 259 (1982), 259–270.
    • (1982) Math. Ann , vol.259 , pp. 259-270
    • Eigen, S.J.1
  • 12
    • 51249181932 scopus 로고
    • Le groupe des transformations de [0, 1] qui préservent la mesure de Lebesgue est un groupe simple, Israel
    • A. Fathi, Le groupe des transformations de [0, 1] qui préservent la mesure de Lebesgue est un groupe simple, Israel J. Math. 29 (1978), 302–308.
    • (1978) J. Math , vol.29 , pp. 302-308
    • Fathi, A.1
  • 13
    • 85021150279 scopus 로고    scopus 로고
    • Measure Algebras, Torres Fremlin
    • D. Fremlin, Measure Theory, Vol. 3. Measure Algebras, Torres Fremlin, 2002.
    • (2002) Measure Theory , vol.3
    • Fremlin, D.1
  • 14
    • 0001635719 scopus 로고    scopus 로고
    • Full groups of Cantor minimal systems
    • T. Giordano, I. Putnam and C. Skau, Full groups of Cantor minimal systems, Israel J. Math. 111 (1999), 285–320.
    • (1999) Israel J. Math , vol.111 , pp. 285-320
    • Giordano, T.1    Putnam, I.2    Skau, C.3
  • 15
    • 0002885105 scopus 로고
    • Weak orbit equivalence of Cantor minimal systems
    • E. Glasner and B. Weiss, Weak orbit equivalence of Cantor minimal systems, Internat. J. Math. 6 (1995), 559–579.
    • (1995) Internat. J. Math , vol.6 , pp. 559-579
    • Glasner, E.1    Weiss, B.2
  • 16
    • 32844462206 scopus 로고    scopus 로고
    • Some remarks on topological full groups of Cantor minimal systems
    • H. Matui, Some remarks on topological full groups of Cantor minimal systems, J. Math. 17 (2006), 231–251.
    • (2006) J. Math , vol.17 , pp. 231-251
    • Matui, H.1
  • 17
    • 34250172705 scopus 로고    scopus 로고
    • On approximation of homeomorphisms of a Cantor set
    • K. Medynets, On approximation of homeomorphisms of a Cantor set, Fund. Math. 194 (2007), 1–13.
    • (2007) Fund. Math , vol.194 , pp. 1-13
    • Medynets, K.1
  • 18
    • 30344476419 scopus 로고    scopus 로고
    • Cantor aperiodic systems and Bratteli diagrams
    • K. Medynets, Cantor aperiodic systems and Bratteli diagrams, C. R. Math. Acad. Sci. Paris 342 (2006), 43–46.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.342 , pp. 43-46
    • Medynets, K.1
  • 20
    • 77950639460 scopus 로고    scopus 로고
    • Isomorphism of Borel full groups
    • B. Miller and C. Rosendal, Isomorphism of Borel full groups, Proc. Amer. Math. Soc. 135 (2007), 517–522.
    • (2007) Proc. Amer. Math. Soc , vol.135 , pp. 517-522
    • Miller, B.1    Rosendal, C.2
  • 21
    • 33644674084 scopus 로고
    • Representation of transformations preserving the Lebesgue measure, in the form of a product of periodic transformations
    • (in Russian)
    • V. V. Ryzhikov, Representation of transformations preserving the Lebesgue measure, in the form of a product of periodic transformations, Mat. Zametki 38 (1985), 860–865 (in Russian).
    • (1985) Mat. Zametki , vol.38 , pp. 860-865
    • Ryzhikov, V.V.1
  • 22
    • 34250077045 scopus 로고
    • Factorization of an automorphism of a full Boolean algebra into the product of three involutions
    • 79–84, 159 (in Russian); English transl: Math. Notes 54 (1993)
    • V. V. Ryzhikov, Factorization of an automorphism of a full Boolean algebra into the product of three involutions, Mat. Zametki 54 (1993), no. 2, 79–84, 159 (in Russian); English transl: Math. Notes 54 (1993), 821–824 (1994).
    • (1993) Mat. Zametki , vol.54 , Issue.2 , pp. 821-824
    • Ryzhikov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.