19-XX $K$-theory

• 19-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 19-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 19-02 Research exposition (monographs, survey articles)
• 19-03 Historical (must be assigned at least one classification number from 01-XX)
• 19-04 Explicit machine computation and programs (not the theory of computation or programming)
• 19-06 Proceedings, conferences, collections, etc.
• 19Axx Grothendieck groups and $K_0$, see also {13D15, 18F30}
• 19Bxx Whitehead groups and $K_1$
• 19Cxx Steinberg groups and $K_2$
• 19Dxx Higher algebraic $K$-theory
• 19Exx $K$-theory in geometry
• 19Fxx $K$-theory in number theory, see also {11R70, 11S70}
• 19Gxx $K$-theory of forms, see also {11Exx}
• 19Jxx Obstructions from topology
• 19Kxx $K$-theory and operator algebras See mainly{46L80, and also 46M20}
• 19Lxx Topological $K$-theory, see also {55N15, 55R50, 55S25}
• 19M05 Miscellaneous applications of $K$-theory