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Summer 2010 Quantum semigroup compactifications and uniform continuity on locally compact quantum groups
Pekka Salmi
Illinois J. Math. 54(2): 469-483 (Summer 2010). DOI: 10.1215/ijm/1318598668

Abstract

We introduce quantum semigroup compactifications and study the universal quantum semigroup compactification of a coamenable locally compact quantum group. If $G$ is a classical locally compact group, the universal semigroup compactification corresponds to the C*-algebra of the bounded left uniformly continuous functions on $G$, so we study the analogous C*-algebra associated with a locally compact quantum group.

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Pekka Salmi. "Quantum semigroup compactifications and uniform continuity on locally compact quantum groups." Illinois J. Math. 54 (2) 469 - 483, Summer 2010. https://doi.org/10.1215/ijm/1318598668

Information

Published: Summer 2010
First available in Project Euclid: 14 October 2011

zbMATH: 1235.46071
MathSciNet: MR2846469
Digital Object Identifier: 10.1215/ijm/1318598668

Subjects:
Primary: 46L89
Secondary: 43A99, 46L65

Rights: Copyright © 2010 University of Illinois at Urbana-Champaign

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Vol.54 • No. 2 • Summer 2010
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