15 citations · 17 across the 4 of their papers we have counts for
5 papers
About an isomorphism between the Beurling algebra with a weight dependent convolution and the group algebra
Raúl Rodríguez-Barrera, Francisco Torres-Ayala
We show that the Beurling algebra with a weight-dependent convolution and the group algebra are isomorphic. In particular, using this isomorphism, we extend some results o…
Conditionally Free Reduced Products of Hilbert Spaces
Octavio Arizmendi, Miguel Ballesteros, Francisco Torres-Ayala
We present a product of pairs of pointed Hilbert spaces that, in the context of Bozėjko, Leinert and Speicher's theory of conditionally free probability, plays the role of the redu…
Conditions for Primitivity of unital amalgamated full free products of finite dimensional C*-algebras
Francisco Torres-Ayala
We consider amalgamated unital full free products of the form , where and are finite dimensional C*-algebras and there are faithful traces on and $A…
Primitivity of unital full free products of residually finite dimensional C*-algebras
Ken Dykema, Francisco Torres-Ayala
A C*-algebra is called primitive if it admits a faithful and irreducible *-representation. We show that if A_1 and A_2 are separable, unital, residually finite dimensional C*-algeb…
Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture
Benoit Collins, Kenneth J. Dykema, Francisco Torres-Ayala
We show that the polynomial S_{m,k}(A,B), that is the sum of all words in noncommuting variables A and B having length m and exactly k letters equal to B, is not equal to a sum of…