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COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS
Published online by Cambridge University Press: 10 June 2016
Abstract
A locally compact group G is compact if and only if its convolution algebras contain non-zero (weakly) completely continuous elements. Dually, G is discrete if its function algebras contain non-zero completely continuous elements. We prove non-commutative versions of these results in the case of locally compact quantum groups.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2016
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