On the fixed point spaces of some completely positive maps

2021/03/08 by Hayashi, Tomohiro
#46L07 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2103.04598

Abstract

In this paper we generalize the results shown by Das and Peterson. Let M be a \rm II₁-factor acting on L²(M). We consider certain unital normal completely positive maps on B(L²(M)) which are identity on M. We investigate their fixed point spaces and obtain a rigidity result. As an application, we show some results of subfactors.

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