On fusion algebras associated to finite group actions

Hideki Kosaki, Akihiro Munemasa and Shigeru Yamagami

Vol. 177 (1997), No. 2, 269–290

DOI: 10.2140/pjm.1997.177.269

Abstract

In our previous paper (see Kosaki and Yamagami), four kinds of bimodules naturally attached to crossed products P ⋊ G ⊇ P ⋊ H determined by a group-subgroup pair G ⊇ H were identified with certain vector bundles equipped with group actions. In the present paper we will describe the structure of the fusion algebra of vector bundles and clarify a relationship to fusion algebras appearing in other contexts. Some applications to automorphism analysis for subfactors will be also given.

Milestones

Received: 10 September 1994

Published: 1 February 1997