Periodicity of hermitian K-groups by

  title={Periodicity of hermitian K-groups by},
  author={M. KAROUBI AND P. A. \OSTV{\aE}R},
  • Published 2010
Bott periodicity for the unitary and symplectic groups is fundamental to topological K-theory. Analogous to unitary topological K-theory, for algebraic K-groups with …nite coe¢ cients, similar results are consequences of the Milnor and Bloch-Kato conjectures, a¢ rmed by Voevodsky, Rost and others. More generally, we prove that periodicity of the algebraic K-groups for any ring implies periodicity for the hermitian K-groups, analogous to orthogonal and symplectic topological K-theory. The proofs… CONTINUE READING

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