On Galois theory from subfactors

Eduardo R. Monteiro and Paulo R. Pinto

Chaos, Solitons & Fractals, 2009, vol. 42, issue 1, 46-51

Abstract: We review some concepts of Galois theory for subfactors N⊆M, computing some Galois groups and correspondences in this framework. Given an outer action of a group G on a II1 von Neumann factor N and a normal subgroup H of G, we prove that the fixed point group–subgroup subfactor NG⊆NH is conjugate to the group–subfactor NG/H⊆N.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:1:p:46-51

DOI: 10.1016/j.chaos.2008.10.028

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