Local and $2$-local derivations on noncommutative Arens algebras

In: Mathematica Slovaca, vol. 64, no. 2

S. A. Ayupov - K. K. Kudaybergenov - B. O. Nurjanov - A. K. Alauadinov

Detaily:

Rok, strany: 2014, 423 - 432

Kľúčové slová:

von Neumann algebra, semi-finite trace, noncommutative Arens algebra, derivation, local derivation, $2$-local derivation

DOI: https://doi.org/10.2478/s12175-014-0215-9

O článku:

The paper is devoted to so-called local and $2$-local derivations on the noncommutative Arens algebra $L^ω(M,τ)$ associated with a von Neumann algebra $M$ and a faithful normal semi-finite trace $τ$. We prove that every $2$-local derivation on $L^ω(M,τ)$ is a spatial derivation, and if $M$ is a finite von Neumann algebra, then each local derivation on $L^ω(M,τ)$ is also a spatial derivation and every $2$-local derivation on $M$ is in fact an inner derivation.

Ako citovať:

ISO 690:

Ayupov, S., Kudaybergenov, K., Nurjanov, B., Alauadinov, A. 2014. Local and $2$-local derivations on noncommutative Arens algebras. In Mathematica Slovaca, vol. 64, no.2, pp. 423-432. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0215-9

APA:

Ayupov, S., Kudaybergenov, K., Nurjanov, B., Alauadinov, A. (2014). Local and $2$-local derivations on noncommutative Arens algebras. Mathematica Slovaca, 64(2), 423-432. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0215-9

O vydaní: