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Square-integrable representations and multipliers

Square-integrable representations and multipliers AbstractWe observe a connection between the existence of square-integrable representations of a locally compact group G and the existence of nonzero translation invariant operators from its Fourier–Stieltjes algebra B⁢(G){B(G)}into L2⁢(G){L^{2}(G)}or, equivalently, from L2⁢(G){L^{2}(G)}into its enveloping von Neumann algebra C*⁢(G)**{C^{*}(G)^{**}}. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Square-integrable representations and multipliers

Georgian Mathematical Journal , Volume 26 (4): 9 – Dec 1, 2019

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References (16)

Publisher
de Gruyter
Copyright
© 2020 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1572-9176
eISSN
1572-9176
DOI
10.1515/gmj-2019-2045
Publisher site
See Article on Publisher Site

Abstract

AbstractWe observe a connection between the existence of square-integrable representations of a locally compact group G and the existence of nonzero translation invariant operators from its Fourier–Stieltjes algebra B⁢(G){B(G)}into L2⁢(G){L^{2}(G)}or, equivalently, from L2⁢(G){L^{2}(G)}into its enveloping von Neumann algebra C*⁢(G)**{C^{*}(G)^{**}}.

Journal

Georgian Mathematical Journalde Gruyter

Published: Dec 1, 2019

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