Illinois Journal of Mathematics

Ultraproducts of crossed product von Neumann algebras

Reiji Tomatsu

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Abstract

We study a relationship between the ultraproduct of a crossed product von Neumann algebra and the crossed product of an ultraproduct von Neumann algebra. As an application, the continuous core of an ultraproduct von Neumann algebra is described.

Article information

Source
Illinois J. Math., Volume 61, Number 3-4 (2017), 275-286.

Dates
Received: 17 May 2017
Revised: 23 January 2018
First available in Project Euclid: 22 August 2018

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1534924828

Digital Object Identifier
doi:10.1215/ijm/1534924828

Mathematical Reviews number (MathSciNet)
MR3845722

Zentralblatt MATH identifier
06932505

Subjects
Primary: 46L10: General theory of von Neumann algebras
Secondary: 46L40: Automorphisms

Citation

Tomatsu, Reiji. Ultraproducts of crossed product von Neumann algebras. Illinois J. Math. 61 (2017), no. 3-4, 275--286. doi:10.1215/ijm/1534924828. https://projecteuclid.org/euclid.ijm/1534924828


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