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August 2009 An example of a solid von Neumann algebra
Narutaka OZAWA
Hokkaido Math. J. 38(3): 557-561 (August 2009). DOI: 10.14492/hokmj/1258553976

Abstract

We prove that the group-measure-space von Neumann algebra $L^\infty(\mathbb T^2) \rtimes \mathrm{SL}(2,\mathbb Z)$ is solid. The proof uses topological amenability of the action of $\mathrm{SL}L(2,\mathbb Z)$ on the Higson corona of $\mathbb Z^2$.

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Narutaka OZAWA. "An example of a solid von Neumann algebra." Hokkaido Math. J. 38 (3) 557 - 561, August 2009. https://doi.org/10.14492/hokmj/1258553976

Information

Published: August 2009
First available in Project Euclid: 18 November 2009

zbMATH: 1187.46048
MathSciNet: MR2548235
Digital Object Identifier: 10.14492/hokmj/1258553976

Subjects:
Primary: 46L35
Secondary: 37A20, ‎43A07‎

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

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Vol.38 • No. 3 • August 2009
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