We present a formal scheme based cycle model for the motivic cohomology of fat points defined by truncated polynomial rings $$k[t]/(t^m)$$ with $$m \ge 2$$ , in one variable over field k. compute their Milnor range class groups when has sufficiently many elements. With some aids from rigid analytic geometry and Gersten conjecture K-theory resolved M. Kerz, we prove that resulting are isomorphic...

We introduce a global equivariant refinement of algebraic K-theory; here ‘global equivariant’ refers to simultaneous and compatible actions all finite groups. Our construction turns specific kind categorical input data into Ω $\Omega$ -spectrum that keeps track genuine G $G$ -equivariant infinite loop spaces, for groups . The resulting K-theory spectrum is rigid way packaging the representation...