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Factoriality, Connes’ type III invariants and fullness of amalgamated free product von Neumann algebras. (English) Zbl 1452.46046
Summary: We investigate factoriality, Connes’ type III invariants and fullness of arbitrary amalgamated free product von Neumann algebras using Popa’s deformation/rigidity theory. Among other things, we generalize many previous structural results on amalgamated free product von Neumann algebras and we obtain new examples of full amalgamated free product factors for which we can explicitely compute Connes’ type III invariants.

##### MSC:
 46L10 General theory of von Neumann algebras 46L09 Free products of $$C^*$$-algebras 46L36 Classification of factors 46L55 Noncommutative dynamical systems 37A20 Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations 37A40 Nonsingular (and infinite-measure preserving) transformations
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