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math.OA1999★ 1 cited
Microstates free entropy and cost of equivalence relations
Dimitri Shlyakhtenko
We define an analog of Voiculescu's free entropy for n-tuples of unitaries (u_{1},...,u_{n}) in a tracial von Neumann algebra M, normalizing a unital diffuse abelian subalgebra B i…
math.OA1999★ 20 cited
Exactness of Cuntz-Pimsner C*-algebras
Ken Dykema, Dimitri Shlyakhtenko
Let H be a full Hilbert bimodule over a C*-algebra A. We show that the Cuntz-Pimsner C*-algebra associated to H is exact if and only if A is exact. Using this result, we give alter…