Measurable bundles of C*-dynamical systems

In the present paper we investigate L -valued states and Markov operators on C* -algebras over L . In particular, we give representations for L -valued state and Markov operators on C*- algebras over L , respectively, as measurable bundles of states and Markov operators. Moreover, we apply the ob...

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Bibliographic Details
Main Authors: Ganiev, Inomjon, Mukhamedov, Farrukh
Other Authors: Zainon, Ismail
Format: Conference or Workshop Item
Language:English
Published: Universiti Teknologi MARA, Negeri Sembilan 2011
Subjects:
Online Access:http://irep.iium.edu.my/12135/
http://irep.iium.edu.my/12135/1/icasmh11_1.pdf
Description
Summary:In the present paper we investigate L -valued states and Markov operators on C* -algebras over L . In particular, we give representations for L -valued state and Markov operators on C*- algebras over L , respectively, as measurable bundles of states and Markov operators. Moreover, we apply the obtained representations to study certain ergodic properties of C*-dynamical systems over L .