We give sufficient conditions ensuring the strong ergodic property of unique mixing for $ C^*
$-dynamical systems arising from Yang-Baxter-Hecke quantisation. We discuss whether …

We analyze general aspects of exchangeable quantum stochastic processes, as well as
some concrete cases relevant for several applications to Quantum Physics and Probability …

The symmetric states on a quasi local C*–algebra on the infinite set of indices J are those
invariant under the action of the group of the permutations moving only a finite, but arbitrary …

Local actions of ℙ ℕ, the group of finite permutations on ℕ, on quasi-local algebras are
defined and proved to be ℙ ℕ-abelian. It turns out that invariant states under local actions …

We deal with the general structure of (noncommutative) stochastic processes by using the
standard techniques of Operator Algebras. Any stochastic process is associated to a state on …

For the quantum stochastic processes generated by the Boolean commutation relations, we
prove the following version of De Finetti Theorem: each of such Boolean processes is …

We define the notion of a quasi--invariant (resp. strongly quasi--invariant) state under the
action of a group $ G $ of normal $* $--automorphisms of a von Neumann alegbra $\mathcal …

We prove that all finite joint distributions of creation and annihilation operators in monotone
and anti-monotone Fock spaces can be realised as Quantum Central Limit of certain …

We introduce a new distributional invariance principle, called 'partial spreadability', which
emerges from the representation theory of the Thompson monoid F+ in noncommutative …

In this paper, we introduce a quantum decomposition of a two-dimensional Bernoulli random
variable (ξ 1, ξ 2), where E (ξ 1)= E (ξ 2)= 0, E (ξ 1 2)= E (ξ 2 2)= 1 and E (ξ 1 ξ 2)= c∈(− 1, 1) …