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Volumn 24, Issue 4, 2004, Pages 1051-1082

C*-algebras, approximately proper equivalence relations and thermodynamic formalism

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EID: 4544385108     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385704000148     Document Type: Article
Times cited : (23)

References (27)
  • 3
    • 51249186274 scopus 로고
    • Markov maps associated with a Fuchsian group
    • [BS]
    • [BS] R. Bowen and C. Series. Markov maps associated with a Fuchsian group. Publ Math. Inst. Hautes Études Sci. 50 (1979), 153-170.
    • (1979) Publ Math. Inst. Hautes Études Sci. , vol.50 , pp. 153-170
    • Bowen, R.1    Series, C.2
  • 5
    • 0040971816 scopus 로고    scopus 로고
    • Lyapunov minimizing measures for expanding maps of the circle
    • [CLT]
    • [CLT] G. Contreras, A. Lopes and P. Thieullen. Lyapunov minimizing measures for expanding maps of the circle. Ergod. Th. & Dynam. Sys. 21 (2001), 1379-1409.
    • (2001) Ergod. Th. & Dynam. Sys. , vol.21 , pp. 1379-1409
    • Contreras, G.1    Lopes, A.2    Thieullen, P.3
  • 7
    • 23844542353 scopus 로고    scopus 로고
    • A new look at the crossed-product of a C*-algebra by an endomorphism
    • [E1]
    • [E1] R. Exel. A new look at the crossed-product of a C*-algebra by an endomorphism. Ergod. Th. & Dynam. Sys. 23(6) (2003), 1733-1750.
    • (2003) Ergod. Th. & Dynam. Sys. , vol.23 , Issue.6 , pp. 1733-1750
    • Exel, R.1
  • 8
    • 0037398183 scopus 로고    scopus 로고
    • Crossed-products by finite index endomorphisms and KMS states
    • [E2]
    • [E2] R. Exel. Crossed-products by finite index endomorphisms and KMS states. J. Funct. Anal. 199(1) (2003), 153-188.
    • (2003) J. Funct. Anal. , vol.199 , Issue.1 , pp. 153-188
    • Exel, R.1
  • 9
    • 4544248582 scopus 로고    scopus 로고
    • KMS states for generalized gauge actions on Cuntz-Krieger algebras (An application of the Ruelle-Perron-Frobenius theorem)
    • [E3] to appear
    • [E3] R. Exel. KMS states for generalized gauge actions on Cuntz-Krieger algebras (An application of the Ruelle-Perron-Frobenius Theorem). Bol. Soc. Brasil. Mat. (N.S.) to appear.
    • Bol. Soc. Brasil. Mat. (N.S.)
    • Exel, R.1
  • 10
    • 0001186442 scopus 로고
    • A proof of the ruelle operator theorem
    • [F]
    • [F] A. Fan. A proof of the Ruelle operator theorem. Rev. Math. Phys. 7 (1995), 1241-1247.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 1241-1247
    • Fan, A.1
  • 11
    • 0035537376 scopus 로고    scopus 로고
    • On Ruelle-Perron-Frobenius operators. I. Ruelle theorem
    • [FJ1]
    • [FJ1] A. Fan and Y. Jiang. On Ruelle-Perron-Frobenius operators. I. Ruelle theorem. Comm. Math. Phys. 223 (2001), 125-141.
    • (2001) Comm. Math. Phys. , vol.223 , pp. 125-141
    • Fan, A.1    Jiang, Y.2
  • 12
    • 0035648096 scopus 로고    scopus 로고
    • On Ruelle-Perron-Frobenius operators. II. Convergence speeds
    • [FJ2]
    • [FJ2] A. Fan and Y. Jiang. On Ruelle-Perron-Frobenius operators. II. Convergence speeds. Comm. Math. Phys. 223 (2001), 143-159.
    • (2001) Comm. Math. Phys. , vol.223 , pp. 143-159
    • Fan, A.1    Jiang, Y.2
  • 14
    • 4544228928 scopus 로고    scopus 로고
    • Noncommutative pressure and the variational principle in Cuntz-Krieger type C*-algebras
    • [KP]
    • [KP] D. Kerr and C. Pinzari. Noncommutative pressure and the variational principle in Cuntz-Krieger type C*-algebras. Comm. Math. Phys. 223 (2001), 143-159.
    • (2001) Comm. Math. Phys. , vol.223 , pp. 143-159
    • Kerr, D.1    Pinzari, C.2
  • 16
    • 0030093845 scopus 로고    scopus 로고
    • Crossed products of C*-algebras by endomorphisms
    • [M]
    • [M] G. J. Murphy. Crossed products of C*-algebras by endomorphisms. Integral Eq. Operat. Th. 24 (1996), 298-319.
    • (1996) Integral Eq. Operat. Th. , vol.24 , pp. 298-319
    • Murphy, G.J.1
  • 21
    • 4544228927 scopus 로고
    • Regularity properties and patologies of position-space renormalization-group transformations: Scope and limitations of the Gibbsian theory
    • [RF]
    • [RF] A. C. D. van Enter, R. Fernández and A. D. Sokal. Regularity properties and patologies of position-space renormalization-group transformations: Scope and limitations of the Gibbsian theory. J. Statist. Phys. 7 (1995), 1241-1247.
    • (1995) J. Statist. Phys. , vol.7 , pp. 1241-1247
    • Van Enter, A.C.D.1    Fernández, R.2    Sokal, A.D.3
  • 22
    • 0000333996 scopus 로고
    • Statistical mechanics of a one-dimensional lattice gas
    • [Ru1]
    • [Ru1] D. Ruelle. Statistical mechanics of a one-dimensional lattice gas. Commun. Math. Phys. 9 (1968), 267-278.
    • (1968) Commun. Math. Phys. , vol.9 , pp. 267-278
    • Ruelle, D.1
  • 24
    • 0141774921 scopus 로고
    • The thermodynamic formalism for expanding maps
    • [Ru3]
    • [Ru3] D. Ruelle. The thermodynamic formalism for expanding maps. Commun. Math. Phys. 125 (1989), 239-262.
    • (1989) Commun. Math. Phys. , vol.125 , pp. 239-262
    • Ruelle, D.1
  • 25
    • 84968476187 scopus 로고
    • Invariant measures and equilibrium states for some mappings which expand distances
    • [W1]
    • [W1] P. Walters. Invariant measures and equilibrium states for some mappings which expand distances. Trans. Amer. Math. Soc. 236 (1978), 121-153.
    • (1978) Trans. Amer. Math. Soc. , vol.236 , pp. 121-153
    • Walters, P.1
  • 26
    • 23044524752 scopus 로고    scopus 로고
    • Convergence of the ruelle operator for a function satisfying Bowen's condition
    • [W2] (electronic)
    • [W2] P. Walters. Convergence of the Ruelle operator for a function satisfying Bowen's condition. Trans. Amer. Math. Soc. 353 (2001), 327-347 (electronic).
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 327-347
    • Walters, P.1
  • 27
    • 0000144114 scopus 로고
    • Index for C*-subalgebras
    • [Wa]
    • [Wa] Y. Watatani. Index for C*-subalgebras. Mem. Am. Math. Soc. 424 (1990), 117.
    • (1990) Mem. Am. Math. Soc. , vol.424 , pp. 117
    • Watatani, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.