26 citations · 27 across the 3 of their papers we have counts for
3 papers
math-ph2004★ 1 cited
Markov states on the CAR algebra
Luigi Accardi, Francesco Fidaleo, Farruh Mukhamedov
The program relative to the investigation of quantum Markov states for spin chains based on Canonical Anticommutation Relations algebra is carried on. This analysis provides a furt…
math.OA2004★ 26 cited
Diagonalizability of non homogeneous quantum Markov states and associated von Neumann algebras
Francesco Fidaleo, Farruh Mukhamedov
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…
math.OA2004
On factors associated with quantum Markov states corresponding to nearest neighbor models on a Cayley tree
Francesco Fidaleo, Farruh Mukhamedov
In this paper we consider nearest neighbour models where the spin takes values in the set $Φ=\{\z_1,\z_2,...,\z_q\}$ and is assigned to the vertices of the Cayley tree ${\G}^k$. Th…