12 citations · 21 across the 9 of their papers we have counts for
9 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…
Finitely generated weakly monotone C*-algebra
Maria Elena Griseta, Janusz Wysoczański
We consider the -algebra generated by finitely many annihilation operators acting on the weakly monotone Fock space, and we call it weakly monotone -algebra. We give an a…
-independence for -graded -algebras
Maria Elena Griseta, Paola Zurlo
We analyse a notion of -independence for -graded -algebras. We provide other notions of statistical independence for -graded von Neumann algeb…
On non-commutative spreadability
Maria Elena Griseta
We review some results on spreadable quantum stochastic processes and present the structure of some monoids acting on the index-set of all integers . These semigroups ar…
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…
Wick order, spreadability and exchangeability for monotone commutation relations
Vitonofrio Crismale, Francesco Fidaleo, Maria Elena Griseta
We exhibit a Hamel basis for the concrete -algebra associated to monotone commutation relations realised on the monotone Fock space, mainly composed by Wick ord…