Abstract
In this article, we consider a class of Markov semigroups on non-commutative, infinite dimensional algebras.Throughout this paper, a Markov semigroup on a C*- algebra always means a(continuous time) semigroup of completely positive maps. We will discuss the construction of Markov semigroups on UHF C*-algebras, their ergodicity and the nature of invariant states.
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© 1994 Springer Science+Business Media New York
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Matsui, T. (1994). Interacting Particle Systems on Non-Commutative Spaces. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_11
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_11
Publisher Name: Springer, Boston, MA
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