The image of Bott periodicity in cyclic homology

Published 9 Jun 2022 in math.KT | (2206.04396v2)

Abstract: We analyze the relationship between Bott periodicity in topological $K$-theory and the natural periodicity of cyclic homology. This is a basis for understanding the multiplicativity, in odd dimensions, of a bivariant Chern-Connes character from $K$-theory to cyclic theory.

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Joachim Cuntz

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