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Excision in Banach simplicial and cyclic cohomology
Published online by Cambridge University Press: 20 January 2009
Abstract
We prove that, for every extension of Banach algebras 0 → B →A → 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.
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- Copyright © Edinburgh Mathematical Society 1998
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