74 citations · 134 across the 14 of their papers we have counts for
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Non-microstates free entropy dimension for groups
I. Mineyev, D. Shlyakhtenko
We show that for any discrete finitely-generated group G and any self-adjoint n-tuple X_1,...,X_n of generators of the group algebra of G, Voiculescu's non-microstates free entropy…
L^2-Homology for von Neumann Algebras
Alain Connes, Dimitri Shlyakhtenko
We define the notion of L^2 homology and L^2 Betti numbers for a tracial von Neumann algebra, or, more generally, for any involutive algebra with a trace. The definition of these i…
Some estimates for non-microstates free entropy dimension, with applications to -semicircular families
Dimitri Shlyakhtenko
We give an general estimate for the non-microstates free entropy dimension . If generate a diffuse von Neumann algebra, we prove that $δ…
On multiplicity and free absorption for free Araki-Woods factors
Dimitri Shlyakhtenko
We show that Ozawa's recent results on solid von Neumann algebras imply that there are free Araki-Woods factors, which fail to have free absorption. We also show that a free Araki-…