Measurable bundles of C*-dynamical systems and its applications

Ganiev, Inomjon and Mukhamedov, Farrukh (2014) Measurable bundles of C*-dynamical systems and its applications. Positivity, 18 (4). pp. 687-702. ISSN 1385-1292 (P), 1572-9281 (O)

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Abstract

In the present paper we investigate -valued states and Markov operators on -algebras over . Here, is the algebra of equivalence classes of complex measurable functions on . In particular, we give representations for -valued states and Markov operators on -algebras over , respectively, as measurable bundles of states and Markov operators. Moreover, we apply the obtained representations to study certain ergodic properties of -dynamical systems over .

Item Type:	Article (Journal)
Additional Information:	6672/41307
Uncontrolled Keywords:	Measurable bundle; L-0-valued norms; C*-dynamical systems; Ergodic; Unique ergodicity
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	13 Feb 2015 10:21
Last Modified:	21 Sep 2017 10:20
URI:	http://irep.iium.edu.my/id/eprint/41307

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