Geodesic
On Positive Definiteness Over Locally Compact Quantum Groups
Canadian journal of mathematics, Tome 68 (2016) no. 5, pp. 1067-1095

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DOI

The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-known results about positive-definite functions over groups to the quantum framework. Among these are theorems on “square roots” of positive-definite functions, comparison of various topologies, positive-definite measures and characterizations of amenability, and the separation property with respect to compact quantum subgroups.
DOI : 10.4153/CJM-2015-019-0
Mots-clés : 20G42, 22D25, 43A35, 46L51, 46L52, 46L89, bicrossed product, locally compact quantum group, non-commutative Lp -space, positive-definite function, positive-definite measure, separation property 
Runde, Volker; Viselter, Ami. On Positive Definiteness Over Locally Compact Quantum Groups. Canadian journal of mathematics, Tome 68 (2016) no. 5, pp. 1067-1095. doi: 10.4153/CJM-2015-019-0
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     title = {On {Positive} {Definiteness} {Over} {Locally} {Compact} {Quantum} {Groups}},
     journal = {Canadian journal of mathematics},
     pages = {1067--1095},
     year = {2016},
     volume = {68},
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     doi = {10.4153/CJM-2015-019-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-019-0/}
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