A Homological Property and Arens Regularity of Locally Compact Quantum Groups
2017 ◽
Vol 60
(1)
◽
pp. 122-130
◽
Keyword(s):
AbstractWe characterize two important notions of amenability and compactness of a locally compact quantum group G in terms of certain homological properties. For this, we show that G is character amenable if and only if it is both amenable and co-amenable. We ûnally apply our results to Arens regularity problems of the quantum group algebra L1(G). In particular, we improve an interesting result by Hu, Neufang, and Ruan.
2016 ◽
Vol 68
(2)
◽
pp. 309-333
◽
2003 ◽
Vol 14
(08)
◽
pp. 865-884
◽
2014 ◽
Vol 57
(3)
◽
pp. 546-550
◽
2012 ◽
Vol 87
(1)
◽
pp. 149-151
◽
2013 ◽
Vol 65
(5)
◽
pp. 1073-1094
◽
2005 ◽
Vol 4
(1)
◽
pp. 135-173
◽
2015 ◽
Vol 26
(03)
◽
pp. 1550024
◽
2014 ◽
Vol 25
(05)
◽
pp. 1450051
◽