arXiv · 1307.4005
We verify a conjecture of Voevodsky, concerning the slices of co-operations in motivic $K$-theory.
Pablo Pelaez, Charles Weibel. 2013-07-15. Slices of Co-Operations for $KGL$. https://doi.org/10.1112/blms%2Fbdu015
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The celebrated theorems of Shilov, Arens--Royden, and Forster give direct descriptions of the first three integral cohomology groups of the Gelfand spectrum of a commutative complex Banach algebra. In his 1974 ICM address, Taylor asked whether the higher cohomology groups admit descriptions in terms of the underlying ring. We give a solution to this question in even degrees: The \'etale (aka Lichtenbaum) Chow group in every codimension is canonically isomorphic to the corresponding even integral cohomology group of the Gelfand spectrum.
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