Global algebraic K‐theory

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 K-theory, or ‘Swan K-theory’ one highly structured object.