Abstract
We give an alternative proof that an injective factor on a Hilbert space with trivial bicentralizer is an infinite tensor product of factors of finte type I (ITPFI factor). Our proof is given in parallel with each type of factor and it is based on the strategy of Haagerup. As a consequence, the uniqueness theorem of injective factors, except for type III _{0} , follows from Araki–Woods’ result.
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