5 papers · 1 filter
On motivic cohomology of commutative C*-algebras
Ko Aoki
Consider the ring of complex-valued continuous functions on a compact Hausdorff space . Cortiñas--Thom computed its nonpositive algebraic -theory, confirming Rosenberg's expe…
The Oka principle for étale Chow groups
Ko Aoki
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 comple…
The decomposition relations alone present the Goncharov Lie coalgebra
Ko Aoki
Recently, Kupers--Rudenko--Sierra introduced the Goncharov Lie coalgebra. They gave a presentation using correlator generators and four types of relations: homogeneity, cyclic symm…
Inaccessibility of the flat topology
Ko Aoki, Robert Burklund
We prove that singleton covers in the flat topology on affine schemes are not closed under -cofiltered limits for any regular cardinal . Therefore, for every accessible flat…
Berkovich -motives and normed ring stacks
Ko Aoki
The de Rham stack construction of Simpson shows that D-modules are quasicoherent sheaves on a modified geometry. Drinfeld furthermore introduced the ring stack perspective (aka tra…