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A Note on Amenability of Locally Compact Quantum Groups

Published online by Cambridge University Press:  20 November 2018

Piotr M. Sołtan and
Ami Viselter
Piotr M. Sołtan
Affiliation:
Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Poland e-mail: piotr.soltan@fuw.edu.pl
Ami Viselter
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G 2G1 e-mail: viselter@ualberta.ca
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Abstract

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In this short note we introduce a notion called quantum injectivity of locally compact quantum groups, and prove that it is equivalent to amenability of the dual. In particular, this provides a new characterization of amenability of locally compact groups.

Keywords

20G4222D2546L89amenabilityconditional expectationinjectivitylocally compact quantum groupquantuminjectivity

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 2 , 14 June 2014, pp. 424 - 430
Copyright
Copyright © Canadian Mathematical Society 2014

Footnotes

The first author was partially supported by the National Science Center (NCN) grant no. 2011/01/B/ST1/05011. The second author was supported by NSERC Discovery Grant no. 418143-2012.

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