Abstract. We show that the the shift on the reduced Câˆ—â€“algebras of RDâ€“groups, including the free group on infinitely many generators, and the amalgamated free product Câˆ—â€“algebras, enjoys the veryâ€¦ (More)

A characterization of the split property for an inclusion N âŠ‚ M of W âˆ—-factors with separable predual is established in terms of the canonical non-commutative L embedding considered in [4, 5] Î¦2 : aâ€¦ (More)

Abstract. We define a stronger property than unique ergodicity with respect to the fixedâ€“point subalgebra firstly investigated in [1]. Such a property is denoted as Fâ€“strict weak mixing (F stands forâ€¦ (More)

We clarify the meaning of diagonalizability of quantum Markov states. Then, we prove that each non homogeneous quantum Markov state is diagonalizable. Namely, for each Markov state Ï† on the spinâ€¦ (More)

We present a quantum system composed of innnitely many particles, subject to a non quadratic Hamiltonian, for which it is possible to investigate the long time behavior of the dynamics and itsâ€¦ (More)

We continue the analysis of nontrivial examples of quantum Markov processes. This is done by applying the construction of entangled Markov chains obtained from classical Markov chains with infiniteâ€¦ (More)

We extend the theory of the chemical potential associated to a compact separable gauge group to the case of disordered quantum systems. This is done in the natural framework of operator algebras.â€¦ (More)

In this paper we consider nearest neighbour models where the spin takes values in the set Î¦ = {Î·1, Î·2, ..., Î·q} and is assigned to the vertices of the Cayley tree Î“. The Hamiltonian is defined byâ€¦ (More)

We present a quantum system composed of innnitely many particles, subject to a non quadratic Hamiltonian, for which it is possible to investigate the long time behavior of the dynamics and itsâ€¦ (More)