Abstract | ||
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In this paper, we investigate the co-amenability of compact quantum groups. Combining with some properties of regular C*-norms on algebraic compact quantum groups, we show that the quantum double of co-amenable compact quantum groups is unique. Based on this, this paper proves that co-amenability is preserved under formulation of the quantum double construction of compact quantum groups, which exhibits a type of nice symmetry between the co-amenability of quantum groups and the amenability of groups. |
Year | DOI | Venue |
---|---|---|
2020 | 10.3390/sym12010085 | SYMMETRY-BASEL |
Keywords | Field | DocType |
compact quantum group,quantum duality,amenability,co-amenability,quantum double construction,Haar integral | Quantum,Compact quantum group,Combinatorics,Algebraic number,Pure mathematics,Duality (optimization),Mathematics | Journal |
Volume | Issue | Citations |
12 | 1 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Xiang Zhang | 1 | 195 | 34.67 |
Ming Liu | 2 | 0 | 0.34 |