Sutherland-Takesaki invariants of dual actions of finite abelian group actions on type III factors

Yoshihiro SEKINE

doi:10.2969/jmsj/04730523

Yoshihiro SEKINE

Author information

JOURNAL FREE ACCESS

1995 Volume 47 Issue 3 Pages 523-531

DOI https://doi.org/10.2969/jmsj/04730523

Details

Published: 1995 Received: November 01, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Connes and M. Takesaki, The flow of weights on factors of type III, Tohoku Math. J., 29 (1977), 473-575.
2) U. Haagerup and E. St∅rmer, Equivalence of normal states on von Neumann algebras and the flow of weights, Adv. in Math., 83 (1990), 180-262.
3) Y. Kawahigashi, C. Sutherland and M. Takesaki, The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions, Acta Math., 169 (1992), 105-130.
4) Y. Kawahigashi and M. Takesaki, Compact abelian group actions on injective factors, J. Funct. Anal., 105 (1992), 112-128.
5) H. Kosaki and T. Sano, Non-splitting inclusions of factors of type III₀, preprint.
6) Y. Sekine, Flows of weights of crossed products of type III factors by discrete groups, Publ. Res. Inst. Math. Sci., Kyoto Univ., 26 (1990), 655-666.
7) C. Sutherland and M. Takesaki, Actions of discrete amenable groups on injective factors of type III_λ, λ≠1, Pacific J. Math., 137 (1989), 405-444.

Right : [1] A. Connes and M. Takesaki, The flow of weights on factors of type III, Tôhoku Math. J., 29 (1977), 473-575.
[2] U. Haagerup and E. St∅rmer, Equivalence of normal states on von Neumann algebras and the flow of weights, Adv. in Math., 83 (1990), 180-262.
[3] Y. Kawahigashi, C. Sutherland and M. Takesaki, The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions, Acta Math., 169 (1992), 105-130.
[4] Y. Kawahigashi and M. Takesaki, Compact abelian group actions on injective factors, J. Funct. Anal., 105 (1992), 112-128.
[5] H. Kosaki and T. Sano, Non-splitting inclusions of factors of type III₀, preprint.
[6] Y. Sekine, Flows of weights of crossed products of type III factors by discrete groups, Publ. Res. Inst. Math. Sci., Kyoto Univ., 26 (1990), 655-666.
[7] C. Sutherland and M. Takesaki, Actions of discrete amenable groups on injective factors of type III_λ, λ≠1, Pacific J. Math., 137 (1989), 405-444.

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

Corresponding author

Correction information

Register with J-STAGE for free!