On Additive K-Theory with the Loday - Quillen *-Product

Authors

  • Katsuhiko Kuribayashi
  • Toshihiro Yamaguchi

DOI:

https://doi.org/10.7146/math.scand.a-14296

Abstract

The -product defined by Loday and Quillen [17] on the additive K-theory (the cyclic homology with shifted degrees) K+(A) for a commutative ring A is naturally extended to a product (-product) on the additive K-theory K+(Ω) for a differential graded algebra (Ω,d) over a commutative ring. We prove that Connes' B-maps from the additive K-theory K+(Ω) to the negative cyclic homology HC(Ω) and to the Hochschild homology HH(Ω) are morphisms of algebras under the -product on K+(Ω). Applications to topology of Connes' B-maps are also described.

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Published

2000-09-01

How to Cite

Kuribayashi, K., & Yamaguchi, T. (2000). On Additive K-Theory with the Loday - Quillen *-Product. MATHEMATICA SCANDINAVICA, 87(1), 5–21. https://doi.org/10.7146/math.scand.a-14296

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Articles