3 citations · 3 across the 3 of their papers we have counts for
5 papers
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…
Quasi-invariant states for the action of compact groups
Maria Elena Griseta
We analyze a natural C*-algebraic definition of G-quasi-invariant states for the automorphic action of a compact group G. We prove that, given a G-quasi-invariant state with centra…
Non-commutative skew-product extension dynamical systems
Vitonofrio Crismale, Simone Del Vecchio, Maria Elena Griseta +1
Starting from a uniquely ergodic action of a locally compact group on a compact space , we consider non-commutative skew-product extensions of the dynamics, on the crossed…
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators
Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczanski
We study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and monotone Fock spaces, respecti…
Weakly Monotone Fock Space and Monotone Convolution of the Wigner Law
Vitonofrio Crismale, Maria Elena Griseta, janusz Wysoczanski
We study the distribution (w.r.t. the vacuum state) of family of partial sums Sm of position operators on weakly monotone Fock space. We show that any single operator has the Wigne…