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math.OA2004
On the Notion of Relative Property (T) for Inclusions of Von Neumann Algebras
Jesse Peterson, Sorin Popa
We prove that the notion of relative property (T) (or rigidity) for inclusions of finite von Neumann algebras defined in [Po1] is equivalent to a weaker property, in which no ``con…
math.OA2004
A Unique Decomposition Result for HT Factors with Torsion Free Core
Sorin Popa
We prove that II factors have a unique (up to unitary conjugacy) cross-product type decomposition around ``core subfactors'' satisfying the property HT and a…