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Algebraic K-theory and trace invariants

几何拓扑 2007-05-23 v1

摘要

The cyclotomic trace of B\"okstedt-Hsiang-Madsen, the subject of B\"okstedt'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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引用

@article{arxiv.math/0304297,
  title  = {Algebraic K-theory and trace invariants},
  author = {Lars Hesselholt},
  journal= {arXiv preprint arXiv:math/0304297},
  year   = {2007}
}