Global algebraic K‐theory

  title={Global algebraic K‐theory},
  author={Stefan Schwede},
  journal={Journal of Topology},
  • S. Schwede
  • Published 18 December 2019
  • Mathematics
  • Journal of Topology
We introduce a global equivariant refinement of algebraic K‐theory; here ‘global equivariant’ refers to simultaneous and compatible actions of all finite groups. Our construction turns a specific kind of categorical input data into a global Ω$\Omega$ ‐spectrum that keeps track of genuine G$G$ ‐equivariant infinite loop spaces, for all finite groups G$G$ . The resulting global algebraic K‐theory spectrum is a rigid way of packaging the representation K‐theory, or ‘Swan K‐theory’ into one highly… 
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