Von Neumann Algebras of Sofic Groups with are Strongly -Bounded

D Shlyakhtenko - arxiv preprint arxiv:1604.08606, 2016 - arxiv.org
We show that if $\Gamma $ is an infinite finitely generated finitely presented sofic group with
zero first $ L^{2} $ Betti number then the von Neumann algebra $ L (\Gamma) $ is strongly …

Regularity of distributions of Wigner integrals

T Mai - arxiv preprint arxiv:1512.07593, 2015 - arxiv.org
Wigner integrals and the corresponding Wigner chaos were introduced by P. Biane and R.
Speicher in 1998 as a non-commutative counterpart of classical Wiener-It\^ o integrals and …

On the capacity of block multiantenna channels

M Diaz, V Pérez-Abreu - IEEE Transactions on Information …, 2017 - ieeexplore.ieee.org
In this paper, we consider point-to-point multiantenna channels with certain block
distributional symmetries that do not require the entries of the channel matrix to be either …

Free Product C*-algebras Associated with Graphs, Free Differentials, and Laws of Loops

M Hartglass - Canadian Journal of Mathematics, 2017 - cambridge.org
Free Product C*-algebras Associated with Graphs, Free Differentials, and Laws of Loops Page
1 Canad. J. Math. Vol. (), pp. – http://dx.doi.org/. /CJM-- ©Canadian Mathematical Society Free …

[PDF][PDF] VON NEUMANN ALGEBRAS OF SOFIC GROUPS WITH β (2)

D SHLYAKHTENKO - arxiv preprint arxiv:1604.08606, 2016 - arxiv.org
We show that if Γ is a finitely generated finitely presented sofic group with zero first L2 Betti
number and containing an element of infinite order, then the von Neumann algebra L (Γ) is …