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/}
}
TY - JOUR AU - AMINI, MASSOUD AU - KALANTAR, MEHRDAD AU - MEDGHALCHI, ALIREZA AU - MOLLAKHALILI, AHMAD AU - NEUFANG, MATTHIAS TI - COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS JO - Glasgow mathematical journal PY - 2017 SP - 445 EP - 462 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/ DO - 10.1017/S0017089516000276 ID - 10_1017_S0017089516000276 ER -
%0 Journal Article %A AMINI, MASSOUD %A KALANTAR, MEHRDAD %A MEDGHALCHI, ALIREZA %A MOLLAKHALILI, AHMAD %A NEUFANG, MATTHIAS %T COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS %J Glasgow mathematical journal %D 2017 %P 445-462 %V 59 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000276/ %R 10.1017/S0017089516000276 %F 10_1017_S0017089516000276
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