Algebraic K-theory and trace invariants

Lars Hesselholt

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Algebraic K-theory and trace invariants

Lars Hesselholt

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Abstract

The cyclotomic trace of Bökstedt-Hsiang-Madsen, the subject of Bökstedt's lecture at the congress in Kyoto, is a map of pro-abelian groups K_*(A) -> TR_*^.(A;p) from Quillen's algebraic K-theory to a topological refinement of Connes' cyclic homology. Over the last decade, our understanding of the target and its relation to K-theory has been significantly advanced. This and possible future development is the topic of my lecture.

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BibTeX RIS

Lars Hesselholt. 2003-04-21. Algebraic K-theory and trace invariants. https://arxiv.org/abs/math/0304297

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