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- W2029604703 abstract "In this paper we study the fiber F of the rational Jones-Goodwillie character $$ F:=hofiber(ch:K^rat(A)@>>>HN^rat(A)) $$ going from K-theory to negative cyclic homology of associative rings. We describe this fiber F in terms of sheaf cohomology. We prove that, for $nge 1$, there is an isomorphism: $$ pi_n(F)cong H^{-n}_{inf}(A,K^rat) $$ between the homotopy of the fiber and the hypercohomology groups of $K^rat$ on a non-commutative version of Grothendieck's infinitesimal site." @default.
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- W2029604703 date "2000-01-25" @default.
- W2029604703 modified "2023-09-27" @default.
- W2029604703 title "Infinitesimal K-theory" @default.
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