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arXiv · 1211.1813

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

Matthew Morrow
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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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Matthew Morrow. 2014-04-21. Pro cdh-descent for cyclic homology and $K$-theory. https://doi.org/10.1017/s1474748014000413

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