Measurable bundles of C∗-dynamical systems and its applications

Inomjon Ganiev; Farrukh Mukhamedov

doi:10.1007/s11117-013-0270-4

Measurable bundles of C∗-dynamical systems and its applications

Inomjon Ganiev, Farrukh Mukhamedov

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	687-702
Number of pages	16
Journal	Positivity
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s11117-013-0270-4
Publication status	Published - Dec 2014
Externally published	Yes

Keywords

C∗-dynamical systems
Ergodic
L-valued norms
Measurable bundle
Unique ergodicity

ASJC Scopus subject areas

Analysis
Theoretical Computer Science
General Mathematics

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10.1007/s11117-013-0270-4

Cite this

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

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T1 - Measurable bundles of C∗-dynamical systems and its applications

AU - Ganiev, Inomjon

AU - Mukhamedov, Farrukh

PY - 2014/12

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N2 - In the present paper we investigate (Formula Presented.)-valued states and Markov operators on (Formula Presented.)-algebras over (Formula Presented.). Here, (Formula Presented.) is the algebra of equivalence classes of complex measurable functions on (Formula Presented.). In particular, we give representations for (Formula Presented.)-valued states and Markov operators on (Formula Presented.)-algebras over (Formula Presented.), respectively, as measurable bundles of states and Markov operators. Moreover, we apply the obtained representations to study certain ergodic properties of (Formula Presented.)-dynamical systems over (Formula Presented.).

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

KW - C∗-dynamical systems

KW - Ergodic

KW - L-valued norms

KW - Measurable bundle

KW - Unique ergodicity

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DO - 10.1007/s11117-013-0270-4

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JO - Positivity

JF - Positivity

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ER -

Measurable bundles of C∗-dynamical systems and its applications

Abstract

Keywords

ASJC Scopus subject areas

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