arXiv Analytics

Sign in

arXiv:math/0601601 [math.OA]AbstractReferencesReviewsResources

Classification of actions of duals of finite groups on the AFD factor of type II_1

Toshihiko MASUDA

Published 2006-01-25Version 1

We will show the uniqueness of outer coactions of finite groups on the AFD factor of type II$_1$ along the arguments by Connes, Jones and Ocneanu. Namely, we construct the infinite tensor product type action, adopt it as the model action, and prove that any outer coaction is conjugate to the model action.

Related articles: Most relevant | Search more
arXiv:2410.11213 [math.OA] (Published 2024-10-15)
$\mathcal{W}$-absorbing actions of finite groups on the Razak-Jacelon algebra
arXiv:0902.4891 [math.OA] (Published 2009-02-27)
Freeness of actions of finite groups on C*-algebras
arXiv:0803.3865 [math.OA] (Published 2008-03-27, updated 2010-03-10)
Irreducible Representations of C*-crossed products by Finite Groups