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Jul 19, 2011 at 7:38 comment added Anatoly Kochubei There are of course many different descriptions of dual objects to compact groups. Kac algebras were invented by G.I. Kac (under the name "ring groups") just to have duality for a class of objects including all locally compact groups. Later it became desirable to have wider classes, to include quantum groups, generalized shift operators etc. Several authors have been mentioned here; I would like to add L. I. Vainerman.
Jul 19, 2011 at 7:05 comment added Theo Buehler Can you say something about the relationship between that and Andreas's answer?
Jul 19, 2011 at 6:31 history answered Anatoly Kochubei CC BY-SA 3.0