4 papers · 1 filter
A Dynamical Approach to Non-Commutative de Finetti Theory
Simone Del Vecchio, Stefano Rossi
We develop a dynamical framework for non-commutative de Finetti theory. We first establish the non-commutative Hewitt-Savage 0-1 law for quantum stochastic processes. We identify t…
On the Ryll-Nardzewski Theorem for Quantum Stochastic Processes
Valeriano Aiello, Simone Del Vecchio, Stefano Rossi
We prove a Ryll-Nardzewski Theorem for quantum stochastic processes, that shows that under natural assumptions which generalize the classical probability setting, the distributiona…
Weakly-monotone C*-algebras as Exel-Laca algebras
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi +1
An abstract characterization of weakly monotone -algebras, namely the concrete -algebras generated by creators and annihilators acting on the so-called weakly monotone Fo…
Freedman's theorem for unitarily invariant states on the CCR algebra
Vitonofrio Crismale, Simone Del Vecchio, Tommaso Monni +1
The set of states on , the CCR algebra of a separable Hilbert space , is here looked at as a natural object to obtain a non-commutative version of Freedman's t…