caa a22 4500 38802397X CHVBK 20180307124932.0 cr unu---uuuuu 161130e199806 xx s 000 0 eng 10.1017/S0013091500019751 doi S0013091500019751 pii (NATIONALLICENCE)cambridge-10.1017/S0013091500019751 Lykova Zinaida A. Department of Mathematics and Statistics, Flyde College, Lancaster University, Lancaster LA1 4YF, England E-mail address: Z.Lykova@lancaster.ac.uk Excision in Banach simplicial and cyclic cohomology [Elektronische Daten] [Zinaida A. Lykova] 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. Copyright © Edinburgh Mathematical Society 1998 Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/2(1998-06), 411-427 0013-0915 41:2<411 1998 41 PEM https://doi.org/10.1017/S0013091500019751 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0013091500019751 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lykova Zinaida A. Department of Mathematics and Statistics, Flyde College, Lancaster University, Lancaster LA1 4YF, England E-mail address: Z.Lykova@lancaster.ac.uk NATIONALLICENCE 773 0- Proceedings of the Edinburgh Mathematical Society Cambridge University Press 41/2(1998-06), 411-427 0013-0915 41:2<411 1998 41 PEM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge