Factors generated by $C^*$-finitely correlated states

Details Factors generated by $C^*$-finitely correlated states Factors generated by $C^*$-finitely correlated states

2005-09-15

arxiv.org/abs/math/0509336v1

Mathematics

Operator Algebras

15 pages

Scientific paper

We present several equivalent conditions for $C^*$-finitely correlated states
defined on the UHF algebras to be factor states and consider the types of
factors generated by them. Subfactors generated by generalized quantum Markov
chains defined on the gauge-invariant parts of the UHF algebras are also
discussed.

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