Ym. Park et Hh. Shin, DYNAMICAL ENTROPY OF GENERALIZED QUANTUM MARKOV-CHAINS OVER INFINITE-DIMENSIONAL ALGEBRAS, Journal of mathematical physics, 38(12), 1997, pp. 6287-6303
We compute the dynamical entropy in the sense of Connes, Narnhofer, an
d Thirring of generalized quantum Markov chain over infinite dimension
al algebras. For the case in which the transition expectation is defin
ed by a set of conditional density amplitudes, we show that the dynami
cal entropy is equal to the mean entropy, Thus we extend the result of
Park [Lett. Math. Phys, 32, 63-74 (1994)] to non-AF type quantum Mark
ov chains. We employ the main method developed in Park [Lett. Math. Ph
ys, 32, 63-74 (1994)] with necessary modifications. (C) 1997 American
Institute of Physics.