Submission: 2013, Jul 30
Let X be a (colimit of) smooth algebraic variety over a subfield of C. We consider the gamma, geometric and topological filtrations of the K-theory when the algebraic K-theory over X is isomorphic to the topological K-theory over X(C). In particular, we study cases that X=BG : the classifying space of an algebraic group G for an algebraically closed field k, and X : the twisted form of the flag variety G/T for a non-algebraically closed field k.
2010 Mathematics Subject Classification: Primary 11E72, 12G05.
Keywords and Phrases: gamma-filtration, K-theory.
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