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Weak amenability of group algebras. (English) Zbl 0757.43002
This paper provides a proof that if $$G$$ is a locally compact group then the algebra $$L^ 1(G)$$ is weakly amenable, that is any derivation from $$L^ 1(G)$$ to $$L^ \infty(G)$$ is inner.

##### MSC:
 43A20 $$L^1$$-algebras on groups, semigroups, etc. 43A07 Means on groups, semigroups, etc.; amenable groups 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
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