Excision, descent, and singularity in algebraic K-theory
classification
🧮 math.KT
math.AGmath.ATmath.OA
keywords
theoryalgebraichomologysingularityveryalgebrasbadlybehaves
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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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