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Mar 31, 2012 at 14:49 vote accept Marius Dadarlat
Jun 13, 2011 at 22:14 comment added Makoto Yamashita Unital QD algebras must have amenable traces. The combination of the property (T) and an amenable trace implies the existence of a fin. dim representation [Brown-Ozawa, Cor. 6.4.10].
Jun 13, 2011 at 18:07 comment added Yemon Choi I don't see why general QD $C^*$-algebras need to have finite dimensional quotients, in general; my (limited) understanding of Andreas Thom's answer is that he and Ozawa have shown that certain group $C^*$-algebras are special in this regard
Jun 13, 2011 at 12:02 history answered Makoto Yamashita CC BY-SA 3.0