A note on intermediate subfactors of Krishnan-Sunder subfactors

Simple item page
dc.creatorBhattacharyya, Bina
dc.date2002-11-01
dc.date.accessioned2026-07-07T04:52:34Z
dc.date.available2026-07-07T04:52:34Z
dc.descriptionA Krishnan-Sunder subfactor $R_U ßR$ of index $k^2$ is constructed from a permutation biunitary matrix $U\in M_p(\mathbb{C})\otimes M_k(\mathbb{C})$, i.e. the entries of $U$ are either 0 or 1 and both $U$ and its block transpose are unitary. The author previously showed that every irreducible Krishnan-Sunder subfactor has an intermediate subfactor by exhibiting the associated Bisch projection. The author has also shown in a separate paper that the principal and dual graphs of the intermediate subfactor are the same as those of the subfactor $R^{\grp} ßR^{H}$, where $Hß\grp$ is an inclusion of finite groups with an outer action on $R$. In this paper we give a direct proof that the intermediate subfactor is isomorphic to $R^{\grp} ßR^{H}$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0211015
dc.identifierhttp://arxiv.org/abs/math/0211015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65512
dc.subjectOperator Algebras
dc.subject46L37
dc.titleA note on intermediate subfactors of Krishnan-Sunder subfactors
dc.typetext

Files

Collections

arXiv