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Pro cdh-descent for cyclic homology and $K$-theory

Published 8 Nov 2012 in math.KT and math.AG | (1211.1813v3)

Abstract: In this paper we prove that cyclic homology, topological cyclic homology, and algebraic $K$-theory satisfy a pro Mayer--Vietoris property with respect to abstract blow-up squares of varieties, in both zero and finite characteristic. This may be interpreted as the well-definedness of $K$-theory with compact support.

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Authors (1)

  1. Matthew Morrow 

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