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Paper's Title:

Simplicial (co)-homology of Band Semigroup


Yasser Farhat

Academic Support Department,
Abu Dhabi Polytechnic,
P.O. Box 111499, Abu Dhabi,



We consider the Banach algebra l1(S), with convolution, where S is a band semigroup. We prove directly, without using the cyclic cohomology, that the simplicial cohomology groups Hn(l1(S), l1(S)*) vanish for all n1. This proceeds in three steps. In each step, we introduce a bounded linear map. By iteration in each step, we achieve our goal.

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