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Higher index theorems and the boundary map in cyclic cohomology

Higher index theorems and the boundary map in cyclic cohomology

We show that the Chern–Connes character induces a natural transformation from the six term exact sequence in (lower) algebraic K -Theory to the periodic cyclic homology exact sequence obtained by Cuntz and Quillen, and we argue that this amounts to a general “higher index theorem.” In order to compute the …