Semi-topological K-theory Using Function Complexes

  title={Semi-topological K-theory Using Function Complexes},
  author={Eric Friedlander and Mark E. Walker},
Abstract. The semi-topological K-theory K ∗ (X) of a quasi-projective complex algebraic variety X is based on the notion of algebraic vector bundles modulo algebraic equivalence. This theory is given as the homotopy groups of an infinite loop space K(X) which is equipped with maps K(X) → K(X), K(X) → Ktop(Xan) whose composition is the natural map from the algebraic K-theory of X to the topological K-theory of the underlying analytic space X of X. We give an explicit description of K 0 (X) in… CONTINUE READING

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