Mathematics Subject Classification 1991

19-XX $K$-theory, See also {16E20, 18F25} ( 0 Dok.)

• 19-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 19-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 19-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 19-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 19-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 19-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 19Axx Grothendieck groups and $K_0$, See also {13D15, 18F30} ( 0 Dok. )
• 19A13 Stability for projective modules, See also {13C10} ( 0 Dok.)
• 19A15 Efficient generation ( 0 Dok.)
• 19A22 Frobenius induction, Burnside and representation rings ( 0 Dok.)
• 19A31 $K_0$ of group rings and orders ( 0 Dok.)
• 19A49 $K_0$ of other rings ( 0 Dok.)
• 19A99 None of the above but in this section ( 0 Dok.)
• 19Bxx Whitehead groups and $K_1$ ( 0 Dok. )
• 19B10 Stable range conditions ( 0 Dok.)
• 19B14 Stability for linear groups ( 0 Dok.)
• 19B28 $K_1$ of group rings and orders, See also {57Q10} ( 0 Dok.)
• 19B37 Congruence subgroup problems, See also {20H05} ( 0 Dok.)
• 19B99 None of the above but in this section ( 0 Dok.)
• 19Cxx Steinberg groups and $K_2$ ( 0 Dok. )
• 19C09 Central extensions and Schur multipliers ( 0 Dok.)
• 19C20 Symbols, presentations and stability of $K_2$ ( 0 Dok.)
• 19C30 $K_2$ and the Brauer group ( 0 Dok.)
• 19C40 Excision for $K_2$ ( 0 Dok.)
• 19C99 None of the above but in this section ( 0 Dok.)
• 19Dxx Higher algebraic $K$-theory ( 0 Dok. )
• 19D06 $Q$- and plus-constructions ( 0 Dok.)
• 19D10 Algebraic $K$-theory of spaces ( 0 Dok.)
• 19D23 Symmetric monoidal categories, See also {18D10} ( 0 Dok.)
• 19D25 Karoubi-Villamayor-Gersten $K$-theory ( 0 Dok.)
• 19D35 Negative $K$-theory, NK and Nil ( 0 Dok.)
• 19D45 Higher symbols, Milnor $K$-theory ( 0 Dok.)
• 19D50 Computations of higher $K$-theory of rings, See Also {13D15, 16E20} ( 0 Dok.)
• 19D55 $K$-theory and homology; cyclic homology and cohomology, See also {18G60} ( 0 Dok.)
• 19D99 None of the above but in this section ( 0 Dok.)
• 19Exx $K$-theory in geometry ( 0 Dok. )
• 19E08 $K$-theory of schemes, See also {14C35} ( 0 Dok.)
• 19E15 Algebraic cycles, See also {14C25, 14C35} ( 0 Dok.)
• 19E20 Relations with cohomology theories, See also {14Fxx} ( 0 Dok.)
• 19E99 None of the above but in this section ( 0 Dok.)
• 19Fxx $K$-theory in number theory, See also {11R70, 11S70} ( 0 Dok. )
• 19F05 Generalized class field theory, See also {11G45} ( 0 Dok.)
• 19F15 Symbols and arithmetic, See also {11R37} ( 0 Dok.)
• 19F27 Etale cohomology, higher regulators, zeta and $L$-functions, See also {11G40, 11R42, 11S40, 14F20, 14G10} ( 0 Dok.)
• 19F99 None of the above but in this section ( 0 Dok.)
• 19Gxx $K$-theory of forms, See also {11Exx} ( 0 Dok. )
• 19G05 Stability for quadratic modules ( 0 Dok.)
• 19G12 Witt groups of rings, See also {11E81} ( 0 Dok.)
• 19G24 $L$-theory of group rings, See also {11E81} ( 0 Dok.)
• 19G38 Hermitian $K$-theory, relations with $K$-theory of rings ( 0 Dok.)
• 19G99 None of the above but in this section ( 0 Dok.)
• 19Jxx Obstructions from topology ( 0 Dok. )
• 19J05 Finiteness and other obstructions in $K_0$ ( 0 Dok.)
• 19J10 Whitehead (and related) torsion ( 0 Dok.)
• 19J25 Surgery obstructions, See also {57R67} ( 0 Dok.)
• 19J35 Obstructions to group actions ( 0 Dok.)
• 19J99 None of the above but in this section ( 0 Dok.)
• 19Kxx $K$-theory and operator algebras See mainly{ 46L80, and also 46M20} ( 0 Dok. )
• 19K14 $K_0$ as an ordered group, traces ( 0 Dok.)
• 19K33 EXT and $K$-homology, See also {55N22} ( 0 Dok.)
• 19K35 Kasparov theory ($KK$-theory), See also {58G12} ( 0 Dok.)
• 19K56 Index theory, See also {58G12} ( 0 Dok.)
• 19K99 None of the above but in this section ( 0 Dok.)
• 19Lxx Topological $K$-theory, See also {55N15, 55R50, 55S25} ( 0 Dok. )
• 19L10 Riemann-Roch theorems, Chern characters ( 0 Dok.)
• 19L20 $J$-homomorphism, Adams operations, See also {55Q50} ( 0 Dok.)
• 19L41 Connective $K$-theory, cobordism, See also {55N22} ( 0 Dok.)
• 19L47 Equivariant $K$-theory, See also {55N91, 55P91, 55Q91, 55R91, 55S91} ( 0 Dok.)
• 19L64 Computations, geometric applications ( 0 Dok.)
• 19L99 None of the above but in this section ( 0 Dok.)
• 19M05 Miscellaneous applications of $K$-theory ( 0 Dok.)