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Lookup NU author(s): Dr Zinaida LykovaORCiD
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We prove that, for every extension of Banach algebras 0 -> -/l -> D -> 0 such that B has a left or right bounded approximate identity, the existence of an associated long exact sequence of Banach simplicial or cyclic cohomology groups is equivalent to the existence of one for homology groups. It follows from the continuous version of a result of Wodzicki that associated long exact sequences exist. In particular, they exist for every extension of C'-algebras.
Author(s): Lykova ZA
Publication type: Article
Publication status: Published
Journal: Proceedings of the Edinburgh Mathematical Society
Print publication date: 01/01/1998
ISSN (print): 0013-0915
ISSN (electronic): 1464-3839
Publisher: Cambridge University Press
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