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math.OA2000
Irreducible subfactors of of index
Dimitri Shlyakhtenko, Yoshimichi Ueda
By utilizing an irreducible inclusion of type III factors coming from a free-product type action of the quantum group , we show that the free group factor $…
math.OA2000★ 16 cited
Prime Type III Factors
Dimitri Shlyakhtenko
We show that for each (0<λ<1), the free Araki-Woods factor of type III(_λ) cannot be written as a tensor product of two diffuse von Neumann algebras (i.e., is prime), and does not…
math.OA2000★ 6 cited
Topological Entropy of Free Product Automorphisms
N. P. Brown, K. Dykema, D. Shlyakhtenko
Using free probability constructions involving Cuntz-Pimsner C*-algebras we show that the topological entropy of the free product of two automorphisms is equal to the maximum of th…