Simone Del Vecchio

activity

20222025

collaborators

Showing math.OAShow all

3 papers · 1 filter

math.OA2025

De Finetti Theorem on the infinite non-commutative torus

Vitonofrio Crismale, Simone Del Vecchio, Maria Elena Griseta +1

The set of spreadabl estates on an infinite non-commutive torus \mathbb{A}_{\mathbb{Z}_α} is determined for all values of the deformation parameter α. If α is irrational, the canon…

math.OA2023

Freedman's theorem for unitarily invariant states on the CCR algebra

Vitonofrio Crismale, Simone Del Vecchio, Tommaso Monni +1

The set of states on $CCR (ch)$ , the CCR algebra of a separable Hilbert space $ch$ , is here looked at as a natural object to obtain a non-commutative version of Freedman's t…

math.OA2022

On truncated $t$ -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 $m$ -truncated $t$ -free $C^{*}$ -algebras are analyzed. In particular, the shift is shown to be uniquely ergodic with respect to th…

De Finetti Theorem on the infinite non-commutative torus

Freedman's theorem for unitarily invariant states on the CCR algebra

On truncated t-free Fock spaces: spectrum of position operators and shift-invariant states

On truncated $t$ -free Fock spaces: spectrum of position operators and shift-invariant states