Inner derivations in the tensor products of operator algebras
نویسندگان
چکیده
منابع مشابه
Diagonals in Tensor Products of Operator Algebras
In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite dimensional C∗-algebra. Consequently, for operator algebras, the first Hochschild cohomology group, H(A, X) = 0 for every bounded, Banach A-bimodule X , if and ...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1980
ISSN: 0040-8735
DOI: 10.2748/tmj/1178229685