D. Shlyakhtenko

activity

19982026

most citedGrothendieck's Theorem for Operator Spaces

99 citations · 460 across the 54 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.OA2000

Irreducible subfactors of $L (F_{\infty})$ of index $λ > 4$

Dimitri Shlyakhtenko, Yoshimichi Ueda

By utilizing an irreducible inclusion of type III $_{q^{2}}$ factors coming from a free-product type action of the quantum group $S U_{q} (2)$ , 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…

Irreducible subfactors of L(F∞​) of index λ>4

Prime Type III Factors

Topological Entropy of Free Product Automorphisms

Irreducible subfactors of $L (F_{\infty})$ of index $λ > 4$