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|Paper IPM / M / 16693||
In this paper, we define a notion of smooth cohomology for C* -algebras which admit a faithful trace. We show that if \A ⊆ B(\h) is a C* -algebra with a faithful normal trace τ on ―\A , the ultra-weak closure of A , and X is a normal dual operatorial ―\A -bimodule, then
H1s(A,X)=H1(A ,Xτ) , where Xτ is a closed submodule of X that consists of the smooth elements.
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