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Nontriviality results for the characteristic algebra of a DGA

Nontriviality results for the characteristic algebra of a DGA

Abstract Assume that we are given a semifree noncommutative differential graded algebra (DGA for short) whose differential respects an action filtration. We show that the canonical unital algebra map from the homology of the DGA to its characteristic algebra, i.e. the quotient of the underlying algebra by the two-sided ideal …