Abstract

Given an irreducible inclusion of infinite von-Neumann-algebras [Formula: see text] together with a conditional expectation [Formula: see text] such that the inclusion has depth 2, we show quite explicitly how [Formula: see text] can be viewed as the fixed-point algebra of [Formula: see text] w.r.t. an outer action of a compact Kac algebra acting on [Formula: see text]. This gives an alternative proof, under this special setting of a more general result of M. Enock and R. Nest [6], see also S. Yamagami [28].

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