COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS
Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 445-462

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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.
AMINI, MASSOUD; KALANTAR, MEHRDAD; MEDGHALCHI, ALIREZA; MOLLAKHALILI, AHMAD; NEUFANG, MATTHIAS. COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 445-462. doi: 10.1017/S0017089516000276
@article{10_1017_S0017089516000276,
     author = {AMINI, MASSOUD and KALANTAR, MEHRDAD and MEDGHALCHI, ALIREZA and MOLLAKHALILI, AHMAD and NEUFANG, MATTHIAS},
     title = {COMPACT {ELEMENTS} {AND} {OPERATORS} {OF} {QUANTUM} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {445--462},
     year = {2017},
     volume = {59},
     number = {2},
     doi = {10.1017/S0017089516000276},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/}
}
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AU  - MEDGHALCHI, ALIREZA
AU  - MOLLAKHALILI, AHMAD
AU  - NEUFANG, MATTHIAS
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%A KALANTAR, MEHRDAD
%A MEDGHALCHI, ALIREZA
%A MOLLAKHALILI, AHMAD
%A NEUFANG, MATTHIAS
%T COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS
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%R 10.1017/S0017089516000276
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