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math.DS2015
von Neumann's problem and extensions of non-amenable equivalence relations
Lewis Bowen, Daniel Hoff, Adrian Ioana
The goals of this paper are twofold. First, we generalize the result of Gaboriau and Lyons [GL07] to the setting of von Neumann's problem for equivalence relations, proving that fo…
math.OA2015
Von Neumann Algebras of Equivalence Relations with Nontrivial One-Cohomology
Daniel J. Hoff
Using Popa's deformation/rigidity theory, we investigate prime decompositions of von Neumann algebras of the form for countable probability measure preserving equi…