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19 K-theory

This section surveys 19 K-theory and highlights the main ideas, methods, and applications associated with the area.

Sub-topics

19Axx Grothendieck groups ($K_0$)
19Bxx Whitehead groups ($K_1$)
19Cxx Steinberg groups and related theory ($K_2$)
19Dxx Higher algebraic K-theory
19Exx K-theory in geometry and topology
19Fxx K-theory in number theory and arithmetic
19Gxx Obstructions and regulators
19Kxx Topological K-theory
19Lxx Applications to operator algebras
19Mxx Miscellaneous applications