Year: 2026
Type: preprint
Abstract: Consider the ring of complex-valued continuous functions on a compact Hausdorff space $X$. Cortiñas--Thom computed its nonpositive algebraic $K$-theory, confirming Rosenberg's expectation. We give a motivic refinement of their result: For $i\geq 2j\geq 0$, the $i$th integral motivic cohomology group of weight $j$ is naturally isomorphic to the $i$th Betti cohomology group of $X$.
Source: arXiv (Cornell University)
Author: Aoki, Ko
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213499458