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math.KT2026
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…
math.KT2026
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…
math.KT2026
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…