4 papers · 1 filter
Fell bundles and Haagerup properties
Erik Bédos, Roberto Conti, Lyudmila Turowska
We introduce new properties of Haagerup-type for Fell bundles over discrete groups and discuss their relationship with Haagerup properties for the associated -algebras. In par…
Jensen's inequality for partial traces in von Neumann algebras
Mizanur Rahaman, Lyudmila Turowska
Motivated by a recent result on finite-dimensional Hilbert spaces, we prove a Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar ine…
Cantor correlations I. Operator systems and Cantor games
Georgios Baziotis, Alexandros Chatzinikolaou, Ivan G. Todorov +1
We study no-signalling correlations over Cantor spaces, placing the product of infinitely many copies of a finite non-local game in a unified general setup. We define the subclasse…
Absolutely dilatable bimodule maps
Alexandros Chatzinikolaou, Ivan G. Todorov, Lyudmila Turowska
We characterise absolutely dilatable completely positive maps on the space of all bounded operators on a Hilbert space that are also bimodular over a given von Neumann algebra as r…