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Kesten's criterion for discrete probability measure-preserving groupoids
Soham Chakraborty, Milan Donvil, Felipe Flores +1
Inspired by Kesten's criterion for the amenability of groups, we establish a characterization of the amenability of discrete probability measure-preserving groupoids in terms of th…
Harmonic analysis and automatic continuity in the context of generalized differential subalgebras
Felipe I. Flores
For appropriate parameters , we introduce and systematically study the class of -differential subalgebras. This is a vast class of Banach -algebras defined by t…
On the continuity of derivations over locally regular Banach algebras
Felipe I. Flores
We study the problem of continuity of derivations over Banach algebras. More specifically, we consider a class of Banach algebras that contain a dense '-like' subalgebra. We d…
A note on finite-dimensional quotients and the problem of automatic continuity for twisted convolution algebras
Felipe I. Flores
In this note, we will show that the twisted convolution algebra associated to a twisted action of a locally compact group on a -alge…
On the continuity of intertwining operators over generalized convolution algebras
Felipe I. Flores
Let be a locally compact group, a Fell bundle and the algebra of integrable cross-sectio…
Polynomial growth and functional calculus in algebras of integrable cross-sections
Felipe I. Flores
Let be a locally compact group with polynomial growth of order , a polynomial weight on and a Fell bundle . We study t…