Title
On Quantum Duality of Group Amenability.
Abstract
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 Zhang119534.67
Ming Liu200.34