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arXiv · 1312.1639

Excision, descent, and singularity in algebraic $K$-theory

Guillermo Cortiñas
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Abstract

Algebraic $K$-theory is a homology theory that behaves very well on sufficiently nice objects such as stable $C^*$-algebras or smooth algebraic varieties, and very badly in singular situations. This survey explains how to exploit this to detect singularity phenomena using $K$-theory and cyclic homology.

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BibTeXRIS

Guillermo Cortiñas. 2014-03-05. Excision, descent, and singularity in algebraic $K$-theory. https://arxiv.org/abs/1312.1639

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