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math.OA2016
On the uniqueness of injective III factor
Uffe Haagerup
We give a new proof of a theorem due to Alain Connes, that an injective factor of type III with separable predual and with trivial bicentralizer is isomorphic to the Araki-…
math.OA2016
Group C*-algebras without the completely bounded approximation property
Uffe Haagerup
It is proved that: (1) The Fourier algebra A(G) of a simple Lie group G of real rank at least 2 with finite center does not have a multiplier bounded approximate unit. (2) The redu…