97 citations · 311 across the 37 of their papers we have counts for
23 papers · 1 filter
(Non-)amenability of and Banach space geometry
Matthew Daws, Matthias Neufang
Let be a Banach space, and the algebra of all bounded linear operators on . The question of amenability of goes back to Johnson's seminal mem…
A purely infinite Cuntz-like Banach -algebra with no purely infinite ultrapowers
Matthew Daws, Bence Horváth
We continue our investigation, from \cite{dh}, of the ring-theoretic infiniteness properties of ultrapowers of Banach algebras, studying in this paper the notion of being purely in…
Completely bounded homomorphisms of the Fourier algebra revisited
Matthew Daws
Let and be the Fourier and Fourier-Stieltjes algebras of locally compact groups and , respectively. Ilie and Spronk have shown that continuous piecewise affine…
Ring-theoretic (in)finiteness in reduced products of Banach algebras
Matthew Daws, Bence Horváth
We study ring-theoretic (in)finiteness properties -- such as \emph{Dedekind-finiteness} and \emph{proper infiniteness} -- of ultraproducts (and more generally, reduced products) of…
Quantum Eberlein compactifications and invariant means
Biswarup Das, Matthew Daws
We propose a definition of a "-Eberlein" algebra, which is a weak form of a -bialgebra with a sort of "unitary generator". Our definition is motivated to ensure that comm…
On convoluters on -spaces
Matthew Daws, Nico Spronk
We prove two theorems about convolution operators on for a locally compact group . First, if has the approximation property, then the algebra of convoluters is the…