58 citations · 599 across the 43 of their papers we have counts for
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math.OA2017★ 4 cited
Factoriality, Connes' type III invariants and fullness of amalgamated free product von Neumann algebras
Cyril Houdayer, Yusuke Isono
We investigate factoriality, Connes' type invariants and fullness of arbitrary amalgamated free product von Neumann algebras using Popa's deformation/rigidity theory. A…
math.DS2017★ 10 cited
Strongly ergodic equivalence relations: spectral gap and type III invariants
Cyril Houdayer, Amine Marrakchi, Peter Verraedt
We obtain a spectral gap characterization of strongly ergodic equivalence relations on standard measure spaces. We use our spectral gap criterion to prove that a large class of ske…
math.OA2017
Singular MASAs in type III factors and Connes' Bicentralizer Property
Cyril Houdayer, Sorin Popa
We show that any type factor with separable predual satisfying Connes' Bicentralizer Property (CBP) has a singular maximal abelian -subalgebra that is the range…