
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.
weakly amenable, Means on groups, semigroups, etc.; amenable groups, derivation, group algebra, locally compact group, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), \(L^1\)-algebras on groups, semigroups, etc.
weakly amenable, Means on groups, semigroups, etc.; amenable groups, derivation, group algebra, locally compact group, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), \(L^1\)-algebras on groups, semigroups, etc.
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