Amenability and Co-Amenability for Locally Compact Quantum Groups
2003 ◽
Vol 14
(08)
◽
pp. 865-884
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Keyword(s):
We define concepts of amenability and co-amenability for locally compact quantum groups in the sense of J. Kustermans and S. Vaes. Co-amenability of a lcqg (locally compact quantum group) is proved to be equivalent to a series of statements, all of which imply amenability of the dual lcqg. Further, it is shown that if a lcqg is amenable, then its universal dual lcqg is nuclear. We also define and study amenability and weak containment concepts for representations and corepresentations of lcqg's.
2016 ◽
Vol 68
(2)
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pp. 309-333
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2014 ◽
Vol 57
(3)
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pp. 546-550
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2017 ◽
Vol 60
(1)
◽
pp. 122-130
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2012 ◽
Vol 87
(1)
◽
pp. 149-151
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2013 ◽
Vol 65
(5)
◽
pp. 1073-1094
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2005 ◽
Vol 4
(1)
◽
pp. 135-173
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2015 ◽
Vol 26
(03)
◽
pp. 1550024
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2014 ◽
Vol 25
(05)
◽
pp. 1450051
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