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PRO CDH-DESCENT FOR CYCLIC HOMOLOGY AND $K$-THEORY

Published online by Cambridge University Press:  27 November 2014

Matthew Morrow*
Affiliation:
Mathematisches Institut, Universität Bonn, Endenicher Allee 60, 53115 Bonn, Germany (morrow@math.uni-bonn.de)http://www.math.uni-bonn.de/people/morrow/
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Abstract

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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.

Type
Research Article
Copyright
© Cambridge University Press 2014 

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