IIUM Repository

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)

[img] PDF - Published Version
Restricted to Repository staff only

Download (258kB) | Request a copy
[img] PDF (WoS) - Published Version
Restricted to Repository staff only

Download (135kB) | Request a copy

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

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year