Abstract
For an outer action $\alpha$ of the symmetric group $S_3$ on an AFD factor $M$, we will determine when the pair $M\rtimes_\alpha S_3 \supset M\rtimes_\alpha S_2$ contains a Cartan subalgebra.
Citation
Yoshihiro SEKINE. "A Cartan Subalgebra for an Inclusion of Factors with Index 3." Tokyo J. Math. 16 (1) 179 - 182, June 1993. https://doi.org/10.3836/tjm/1270128990
Information
Published: June 1993
First available in Project Euclid: 1 April 2010
zbMATH: 0801.46071
MathSciNet: MR1223296
Digital Object Identifier: 10.3836/tjm/1270128990
Rights: Copyright © 1993 Publication Committee for the Tokyo Journal of Mathematics