Crossed-products by finite index endomorphisms and KMS states

Journal of Functional Analysis

Volumn 199, Issue 1, 2003, Pages 153-188

  Exel, Ruy ^a  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037398183     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(02)00023-X     Document Type: Article

References (13)

1. J. Cuntz, The internal structure of simple C*-algebras, Operator algebras and applications, Proc. Symp. Pure Math. 38 (1982) 85-115.
2. R. Exel, Circle actions on C*-algebras, partial automorphisms and a generalized Pimsner-Voiculescu exact sequence, J. Funct. Analy. 122 (1994) 361-401 [arXiv:funct-an/9211001].
3. R. Exel, A new look at the crossed-product of a C*-algebra by an endomorphism, preprint, Universidade Federal de Santa Catarina, 2000 [arXiv:math.OA/0012084].
4. E. Hewitt, K.A. Ross, Abstract Harmonic Analysis, Springer-Verlag, Berlin, New York, 1970.
5. V. Jones, Index for subfactors, Invent. Math. 72 (1983) 1-25.
6. H. Kosaki, Extensions of Jones' theory on index to arbitrary factors, J. Funct. Analy. 66 (1986) 123-140.
7. G.J. Murphy, Crossed products of C*-algebras by endomorphisms, Integral Equations Oper. Theory 24 (1996) 298-319.
8. G.K. Pedersen, C*-Algebras and their Automorphism Groups, Academic Press, New York, 1979.
9. D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys. 9 (1968) 267-278.
10. D. Ruelle, The thermodynamic formalism for expanding maps, Comm. Math. Phys. 125 (1989) 239-262.
11. P.J. Stacey, Crossed products of C*-algebras by *-endomorphisms, J. Austral. Math. Soc. Ser. A 54 (1993) 204-212.
12. M. Takesaki, Theory of Operator Algebras I, Springer, Berlin, 1979.
13. Y. Watatani, Index for C*-subalgebras, Mem. Amer. Math. Soc. 424 (1990) 117pp.