14 citations · 64 across the 15 of their papers we have counts for
12 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…
On distributional symmetries on the CAR algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
Spreadable, exchangeable, and rotatable states on the CAR algebra are shown to be the same.
On truncated -free Fock spaces: spectrum of position operators and shift-invariant states
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The ergodic properties of the shift on both full and -truncated -free -algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…
On the monotone -algebra
Vitonofrio Crismale, Simone Del Vecchio, Stefano Rossi
The concrete monotone -algebra, that is the (unital) -algebra generated by monotone independent algebraic random variables of Bernoulli type, is characterized abstractly…
Quantum Operations on Conformal Nets
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
On a conformal net , one can consider collections of unital completely positive maps on each local algebra , subject to natural compatibility, vacuum p…
Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Discrete subfactors include a particular class of infinite index subfactors and all finite index ones. A discrete subfactor is called local when it is braided and it fulfills a com…
Compact Hypergroups from Discrete Subfactors
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Conformal inclusions of chiral conformal field theories, or more generally inclusions of quantum field theories, are described in the von Neumann algebraic setting by nets of subfa…
Ergodic properties of the Anzai skew-product for the noncommutative torus
Simone Del Vecchio, Francesco Fidaleo, Luca Giorgetti +1
We provide a systematic study of a noncommutative extension of the classical Anzai skew-product for the cartesian product of two copies of the unit circle to the noncommutative 2-t…
Infinite index extensions of local nets and defects
Simone Del Vecchio, Luca Giorgetti
Subfactor theory provides a tool to analyze and construct extensions of Quantum Field Theories, once the latter are formulated as local nets of von Neumann algebras. We generalize…