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Article overview
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Infinitesimal K-theory | | Guillermo Corti~nas
; | | Date: |
25 Dec 1999 | | Journal: | J. Reine Angew. Math. 503 (1998), 129-160 | | Subject: | K-Theory and Homology MSC-class: 19E20(14F20 19D55) | math.KT | | Abstract: | In this paper we study the fiber F of the rational Jones-Goodwillie character $$ F:=hofiber(ch:K^
at(A)@>>>HN^
at(A)) $$ 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: $$ pi_n(F)cong H^{-n}_{inf}(A,K^
at) $$ between the homotopy of the fiber and the hypercohomology groups of $K^
at$ on a non-commutative version of Grothendieck’s infinitesimal site. | | Source: | arXiv, math.KT/0001138 | | Services: | Forum | Review | PDF | Favorites | |
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