科研之友
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摘要
Building on the recent determination of the simplicial cohomology groups of the convolution algebra l(1)(Zk+) [F. Gourdeau, Z. A. Lykova and M. C. White, A Kunneth formula in topological homology and its applications to the simplicial cohomology of l(1)(Zk+), Studia Math. 166 (2005), 29-54], we investigate what can be said for the cohomology of this algebra with more general symmetric coefficients. Our approach leads us to a discussion of the Harrison homology and cohomology in the context of Banach algebras and a development of some of its basic features. As an application of our techniques, we reprove some known results on second-degree cohomology.
- 出版日期2010-3
