Axiomatic cohomology of operator algebras
摘要
RESUME. -Recently, JOHNSON, KADISON and RINGROSE have considered the normal cohomology groups of a fixed operator algebra A, with coefficients from the class of dual normal A-modules. In the case where the coefficient modules are actually modules over the weak operator closure of A, they prove that the normal cohomology groups and the continuous cohomology groups coincide. A shorter proof of this result is obtained based on an axiomatic characterisation of the normal cohomology groups with coefficients in such modules. This characterisation also gives a short proof of the isomorphism between the normal cohomology groups of A, and of its weak operator closure.
引用本文（GB/T 7714）
I. G. Craw. Axiomatic cohomology of operator algebras[J]. Bulletin de la Société mathématique de France, 1972.
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