12 citations · 21 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…