Free product actions and their applications

Mathematics – Operator Algebras

Scientific paper

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To appear in "Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads," World Scientific

Scientific paper

A review of our recent works on free product actions, partly in
collaborations with Dimitri Shlyakhtenko and with Fumio Hiai, is given. We also
work out type III theoretic subfactor analysis on the subfactors constructed in
our previous works. This part can be read as supplementary appendix to the
works.

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