Measurable bundles of C*-algebras over ideals

Inomjon Ganiev; Farrukh Mukhamedov

doi:10.1088/1742-6596/435/1/012004

Measurable bundles of C*-algebras over ideals

Inomjon Ganiev, Farrukh Mukhamedov

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

Let (Ω, Σ, λ) be a measurable space with a finite complete measure λ and L₀ L₀(Ω) be an algebra of equivalence classes of complex measurable functions on Ω. In the present paper we define C* -algebras over ideals of L₀. It is proved that any C* -algebra over ideal can be represented as measurable bundle of C*-algebras.

Original language	English
Article number	012004
Journal	Journal of Physics: Conference Series
Volume	435
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/435/1/012004
Publication status	Published - 2013
Externally published	Yes
Event	4th International Conference on the Advancement of Science and Technology 2012: Contemporary Mathematics, Mathematical Physics and Their Applications, iCAST 2012 - Kuantan, Malaysia Duration: Nov 7 2012 → Nov 10 2012

ASJC Scopus subject areas

Physics and Astronomy(all)

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AB - Let (Ω, Σ, λ) be a measurable space with a finite complete measure λ and L0 L0(Ω) be an algebra of equivalence classes of complex measurable functions on Ω. In the present paper we define C* -algebras over ideals of L0. It is proved that any C* -algebra over ideal can be represented as measurable bundle of C*-algebras.

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DO - 10.1088/1742-6596/435/1/012004

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VL - 435

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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ER -

Measurable bundles of C*-algebras over ideals

Abstract

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