Nonvanishing of the secondary cohomologies of certain weakly amenable Banach algebras (Q1908402)

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scientific article; zbMATH DE number 848898
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Nonvanishing of the secondary cohomologies of certain weakly amenable Banach algebras
scientific article; zbMATH DE number 848898

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    Nonvanishing of the secondary cohomologies of certain weakly amenable Banach algebras (English)
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    27 March 1996
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    In contrast to certain \(C^*\)-algebras [\textit{E. Christensen} and \textit{A. M. Sinclair}, Pac. J. Math. 137, No. 1, 55-63 (1989; Zbl 0685.46044)], the vanishing result of higher cohomologies \(H^n(A, A^*)\) is no longer true for the algebras in the title, as provided by the algebra \(\ell_p\) for \(1< p\leq 3\).
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    \(C^*\)-algebras
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    higher cohomologies
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