Profinite and Continuous Higher K-Theory of Exact Categories, Orders, and Group Rings |
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Authors: | Aderemi Kuku |
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Affiliation: | (1) The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy |
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Abstract: | Let be a rational prime, an exact category. In this article, we define and study for all , the profinite higher K-theory of , that is as well as , where is the -dimensional mod- Moore space. We study connections between and prove several -completeness results involving these and associated groups including the cases where is the category of finitely generated (resp. finitely generated projective) modules over orders in semi-simple algebras over number fields and p-adic fields. We also define and study continuous K-theory of orders in p-adic semi-simple algebras and show some connection between the profinite and continuous K-theory of . |
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Keywords: | higher K-theory exact categories orders group rings Mod-m Moore space profinite continuous semi-simple algebras I-complete |
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