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Bivariant cyclic cohomology and Connes’ bilinear pairings in noncommutative motives
In this article we further the study of noncommutative motives. We prove that the bivariant cohomology and the bivariant Chern character of any additive invariant E become representable in the category of noncommutative motives. This applies in particular to bivariant cyclic cohomology and its variants. When E is moreover symmetric …