Strong topological transitivity and C*-dynamical systems

Ola BRATTELI; George A. ELLIOTT; Derek W. ROBINSON

doi:10.2969/jmsj/03710115

Strong topological transitivity and C^*-dynamical systems

Ola BRATTELI, George A. ELLIOTT, Derek W. ROBINSON

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JOURNAL FREE ACCESS

1985 Volume 37 Issue 1 Pages 115-133

DOI https://doi.org/10.2969/jmsj/03710115

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Published: 1985 Received: February 13, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) Institute of Mathematics University of Trondheim
2) Mathematics Institute University of Copenhagen
3) Department of Mathematics Institute of Advanced Studies Australian National University

Right :
1) Institute of Mathematics University of Trondheim
2) Mathematics Institute University of Copenhagen
3) Department of Matnematics Institute of Advanced Studies Australian National University

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Araki, R. Haag, D. Kastler and M. Takesaki, Extension of KMS states and chemical potential, Commun. Math. Phys., 53 (1977), 97-134.
2) H. Araki and A. Kishimoto, Symmetry and equilibrium states, Commun. Math. Phys., 52 (1977), 211-232.
3) O. Bratteli and D. Evans, Dynamical semigroups commuting with compact abelian actions, Ergodic Theory and Dynamical Systems, 3 (1983), 187-217.
4) O. Bratteli, P.E.T. Jørgensen, A. Kishimoto and D. W. Robinson, A C^*-algebraic Schoenberg theorem, Ann. Inst. Fourier (to appear).
5) O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer-Verlag, New York-Heidelberg-Berlin, 1979.
6) F. Goodman, Translation invariant closed *-derivations, Pacific J. Math., 97 (1981), 403-413.
7) R. Høegh-Krohn, M. B. Landstad and E. Størmer, Compact ergodic groups of auto morphisms, Ann. of Math., 114 (1981), 75-86.
8) A. Kishimoto, On invariant states and the commutant of a group of quasifree automorphisms of the CAR algebra, Rep. Math. Phys., 15 (1979), 21-26; II, Rep. Math. Phys., 15 (1979), 195-198; III, Rep. Math. Phys., 16 (1979), 121-124.
9) A. Kishimoto and D. W. Robinson, Dissipations, derivations, dynamical systems, and asymptotic abelianness, Canberra preprint, 1983.
10) R. Longo and C. Peligrad, Non commutative topological dynamics and compact actions on C^*-algebras, preprint, 1983.
11) D. W. Robinson, E. Størmer and M. Takesaki, Derivations of simple C^*-algebras tangential to compact automorphism groups, Canberra preprint, 1983.
12) M. Takesaki, Fourier analysis of compact automorphism groups (An application of Tannaka duality theorem), in D. Kastler ed. Algèbres d'opérateurs et leurs applications en physique mathématique, Éditions CNRS, Paris, 1979.
13) P. Walters, An Introduction to Ergodic Theory, GTM 79, Springer-Verlag, New York-Heidelberg-Berlin, 1981.

Right : [1] H. Araki, R. Haag, D. Kastler and M. Takesaki, Extension of KMS states and chemical potential, Commun. Math. Phys., 53 (1977), 97-134.
[2] H. Araki and A. Kishimoto, Symmetry and equilibrium states, Commun. Math. Phys., 52 (1977), 211-232.
[3] O. Bratteli and D. Evans, Dynamical semigroups commuting with compact abelian actions, Ergodic Theory and Dynamical Systems, 3 (1983), 187-217.
[4] O. Bratteli, P. E. T. Jørgensen, A. Kishimoto and D. W. Robinson, A C^*-algebraic Schoenberg theorem, Ann. Inst. Fourier (to appear).
[5] O. Bratteli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I, Springer-Verlag, New York-Heidelberg-Berlin, 1979.
[6] F. Goodman, Translation invariant closed ^*-derivations, Pacific J. Math., 97 (1981), 403-413.
[7] R. Høegh-Krohn, M. B. Landstad and E. Størmer, Compact ergodic groups of automorphisms, Ann. of Math., 114 (1981), 75-86.
[8] A. Kishimoto, On invariant states and the commutant of a group of quasifree automorphisms of the CAR algebra, Rep. Math. Phys., 15 (1979), 21-26; II, Rep. Math. Phys., 15 (1979), 195-198; III, Rep. Math. Phys., 16 (1979), 121-124.
[9] A. Kishimoto and D. W. Robinson, Dissipations, derivations, dynamical systems, and asymptotic abelianness, Canberra preprint, 1983.
[10] R. Longo and C. Peligrad, Non commutative topological dynamics and compact actions on C^*-algebras, preprint, 1983.
[11] D. W. Robinson, E. Størmer and M. Takesaki, Derivations of simple C^*-algebras tangential to compact automorphism groups, Canberra preprint, 1983.
[12] M. Takesaki, Fourier analysis of compact automorphism groups (An application of Tannaka duality theorem), in D. Kastler ed. Algèbres d'opérateurs et leurs applications en physique mathématique, Éditions CNRS, Paris, 1979.
[13] P. Walters, An Introduction to Ergodic Theory, GTM 79, Springer-Verlag, New York-Heidelberg-Berlin, 1981.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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