@article{22693,
  abstract     = {We study torus-equivariant algebraic K-theory of affine Schubert varieties in the perfect affine Grassmannians over Fp. We further compare it to the torus-equivariant Hochschild homology of perfect complexes, which has a geometric description in terms of global functions on certain fixed-point schemes. We prove that Fp-linearly, this comparison is an isomorphism. Our approach is quite constructive, resulting in new computations of these K-theory rings. We establish various structural results for equivariant perfect algebraic K-theory on the way; we believe these are of independent interest.},
  author       = {Löwit, Jakub},
  issn         = {1431-0643},
  journal      = {Documenta Mathematica},
  keywords     = {equivariant algebraic K-theory, perfection in positive characteristic, affine Grassmannian, affine Schubert varieties, Dennis trace map, equivariant Hochschild homology, fixed-point schemes, toric varieties},
  publisher    = {EMS Press},
  title        = {{Equivariant K-theory, affine Grassmannian and perfection}},
  doi          = {10.4171/dm/1064},
  year         = {2026},
}