Measurable bundles of $C^*$-dynamical systems and its applications

Inomjon Ganiev; Farrukh Mukhamedov

Measurable bundles of $C^*$-dynamical systems and its applications

Operator Algebras 2015-02-10 v1 Dynamical Systems Functional Analysis

Authors: Inomjon Ganiev , Farrukh Mukhamedov

Abstract

In the present paper we investigate $L_0$ -valued states and Markov operators on $C^*$ -algebras over $L_0$ . In particular, we give representations for $L_0$ -valued state and Markov operators on $C^*$ algebras over $L_0$ , 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 $L_0$ .

Keywords

$C^*$-algebras over $L_0$ $L_0$-valued states Markov operators measurable bundles $C^*$-dynamical systems ergodic properties

Cite

@article{arxiv.1201.4208,
  title  = {Measurable bundles of $C^*$-dynamical systems and its applications},
  author = {Inomjon Ganiev and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:1201.4208},
  year   = {2015}
}

Measurable bundles of $C^*$-dynamical systems and its applications

Abstract

Keywords

Cite

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