On Additive K-Theory with the Loday - Quillen *-Product
DOI:
https://doi.org/10.7146/math.scand.a-14296Abstract
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.Downloads
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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