Non Homogeneous Fermi Markov States
نویسنده
چکیده
We investigate the structure of the non homogeneous Markov states on general Fermi algebras. This covers d–Markov states on the CAR algebra on Z, the case when there are more than one creators and annichilators in each site, and finally Fermi Markov fields on Z . Natural connections with the KMS boundary condition, diagonalizability, and entropy of Fermi Markov states are studied in detail. Apart from diagonalizable Markov states, another class of interesting examples of Fermi Markov states naturally appears. Contrarily to diagonalizable examples, the non diagonalizable Markov states on Fermi algebras do not arise from commuting nearest neighbour interactions. Mathematics Subject Classification: 46L53, 46L60, 60J99, 82B10.
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