Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators

S. Albeverio; K. K. Kudaybergenov; R. T. Djumamuratov

doi:10.1134/S199508021203002X

Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators

S. Albeverio^*
, K. K. Kudaybergenov
, R. T. Djumamuratov

^*Corresponding author for this work

University of Bonn
Karakalpak State University

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

Abstract

Given a von Neumann algebra M we consider the central extension E(M) of M. We describe class of von Neumann algebras M for which the algebra E(M) coincides with the algebra S(M)-the algebra of all measurable operators with respect to M, and with S(M, τ)-the algebra of all τ-measurable operators with respect to M.

Original language	English
Pages (from-to)	200-207
Number of pages	8
Journal	Lobachevskii Journal of Mathematics
Volume	33
Issue number	3
DOIs	https://doi.org/10.1134/S199508021203002X
State	Published - Jul 2012
Externally published	Yes

Keywords

central extensions
measurable operators
von Neumann algebras

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10.1134/S199508021203002X

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abstract = "Given a von Neumann algebra M we consider the central extension E(M) of M. We describe class of von Neumann algebras M for which the algebra E(M) coincides with the algebra S(M)-the algebra of all measurable operators with respect to M, and with S(M, τ)-the algebra of all τ-measurable operators with respect to M.",

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AU - Djumamuratov, R. T.

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AB - Given a von Neumann algebra M we consider the central extension E(M) of M. We describe class of von Neumann algebras M for which the algebra E(M) coincides with the algebra S(M)-the algebra of all measurable operators with respect to M, and with S(M, τ)-the algebra of all τ-measurable operators with respect to M.

KW - central extensions

KW - measurable operators

KW - von Neumann algebras

UR - https://www.scopus.com/pages/publications/84866435713

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DO - 10.1134/S199508021203002X

M3 - 文章

AN - SCOPUS:84866435713

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JO - Lobachevskii Journal of Mathematics

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ER -

Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators

Abstract

Keywords

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