A Comment on Jones Inclusions with infinite Index

Details A Comment on Jones Inclusions with infinite Index A Comment on Jones Inclusions with infinite Index

1994-11-11

arxiv.org/abs/hep-th/9411084v1

Rev.Math.Phys. 7 (1995) 599-630

Physics

High Energy Physics

High Energy Physics - Theory

latex, 40 pages

Scientific paper

10.1142/S0129055X95000244

Given an irreducible inclusion of infinite von-Neumann-algebras $\cn \subset \cm$ together with a conditional expectation $ E : \cm \rightarrow \cm $ such that the inclusion has depth 2, we show quite explicitely how $\cn $ can be viewed as the fixed point algebra of $\cm$ w.r.t. an outer action of a compact Kac-algebra acting on $\cm$. This gives an alternative proof, under this special setting of a more general result of M. Enock and R. Nest, [E-N], see also S. Yamagami, [Ya2].

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