Journal of the Mathematical Society of Japan

Notes on group actions on subfactors

Toshihiko MASUDA

Abstract

We construct approximately inner actions of discrete amenable groups on strongly amenable subfactors of type $\mathrm{II}_{1}$ with given invariants, and obtain classification results under some conditions. We also study the lifting of the relative $\chi$ group.

Article information

Source
J. Math. Soc. Japan, Volume 55, Number 1 (2003), 1-11.

Dates
First available in Project Euclid: 5 December 2007

https://projecteuclid.org/euclid.jmsj/1196890838

Digital Object Identifier
doi:10.2969/jmsj/1196890838

Mathematical Reviews number (MathSciNet)
MR1939181

Zentralblatt MATH identifier
1027.46080

Subjects
Primary: 46L37: Subfactors and their classification
Secondary: 46L40: Automorphisms

Citation

MASUDA, Toshihiko. Notes on group actions on subfactors. J. Math. Soc. Japan 55 (2003), no. 1, 1--11. doi:10.2969/jmsj/1196890838. https://projecteuclid.org/euclid.jmsj/1196890838