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March 2004 Algèbres de von Neumann finies ayant la propriété de Haagerup et semi-groupes L2-compacts
Paul Jolissaint, Florian Martin
Bull. Belg. Math. Soc. Simon Stevin 11(1): 35-48 (March 2004). DOI: 10.36045/bbms/1080056158

Abstract

The goal of this note is to characterize Haagerup property for finite von Neumann algebras in terms of $||.||_{2}$-continuous semi-group of completely positive $L^{2}$-compact maps. The generator of this semi-group could be interpreted as an analogue for von Neumann algebras having the Haagerup property of a proper conditionally negative definite map on a group having Haagerup property.

Citation

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Paul Jolissaint. Florian Martin. "Algèbres de von Neumann finies ayant la propriété de Haagerup et semi-groupes L2-compacts." Bull. Belg. Math. Soc. Simon Stevin 11 (1) 35 - 48, March 2004. https://doi.org/10.36045/bbms/1080056158

Information

Published: March 2004
First available in Project Euclid: 23 March 2004

MathSciNet: MR2059174
Digital Object Identifier: 10.36045/bbms/1080056158

Rights: Copyright © 2004 The Belgian Mathematical Society

Vol.11 • No. 1 • March 2004
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