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math.OA2016★ 7 cited
Fullness and Connes' invariant of type III tensor product factors
Cyril Houdayer, Amine Marrakchi, Peter Verraedt
We show that the tensor product of any two full factors and (possibly of type ) is full and we compute Connes' invariant $τ(M…
math.OA2016
Spectral gap characterization of full type III factors
Amine Marrakchi
We give a spectral gap characterization of fullness for type factors which is the analog of a theorem of Connes in the tracial case. Using this criterion, we general…
math.OA2016★ 6 cited
Solidity of type III Bernoulli crossed products
Amine Marrakchi
We generalize a theorem of Chifan and Ioana by proving that for any, possibly type III, amenable von Neumann algebra , any faithful normal state and any discrete group $…