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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Annihilator ideals in the cohomology of Banach algebras


Author: A. M. Sinclair
Journal: Proc. Amer. Math. Soc. 33 (1972), 361-366
MSC: Primary 46L05
DOI: https://doi.org/10.1090/S0002-9939-1972-0295096-7
MathSciNet review: 0295096
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Abstract: If A is a $ {C^\ast}$-algebra, if X is a Banach A-module, and if J is the annihilator of X in A, then the cohomology space $ {\mathcal{H}^n}(A,{X^\ast})$ is isomorphic to $ {\mathcal{H}^n}(A/J,{X^\ast})$ for each positive integer n.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0295096-7
Keywords: Banach algebra, Banach module, cohomology, annihilator ideal, approximate identity, $ {C^\ast}$-algebra
Article copyright: © Copyright 1972 American Mathematical Society

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