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Mathematics Subject Classification 1991
19-XX $K$-theory, See also {16E20, 18F25}
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19-00
General reference works (handbooks, dictionaries, bibliographies, etc.)
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19-01
Instructional exposition (textbooks, tutorial papers, etc.)
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19-02
Research exposition (monographs, survey articles)
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19-03
Historical (must be assigned at least one classification number from Section 01)
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19-04
Explicit machine computation and programs (not the theory of computation or programming)
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19-06
Proceedings, conferences, collections, etc.
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19Axx Grothendieck groups and $K_0$, See also {13D15, 18F30}
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19A13
Stability for projective modules, See also {13C10}
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19A15
Efficient generation
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19A22
Frobenius induction, Burnside and representation rings
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19A31
$K_0$ of group rings and orders
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19A49
$K_0$ of other rings
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19A99
None of the above but in this section
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19Bxx Whitehead groups and $K_1$
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19B10
Stable range conditions
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19B14
Stability for linear groups
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19B28
$K_1$ of group rings and orders, See also {57Q10}
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19B37
Congruence subgroup problems, See also {20H05}
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19B99
None of the above but in this section
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19Cxx Steinberg groups and $K_2$
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19C09
Central extensions and Schur multipliers
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19C20
Symbols, presentations and stability of $K_2$
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19C30
$K_2$ and the Brauer group
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19C40
Excision for $K_2$
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19C99
None of the above but in this section
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19Dxx Higher algebraic $K$-theory
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19D06
$Q$- and plus-constructions
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19D10
Algebraic $K$-theory of spaces
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19D23
Symmetric monoidal categories, See also {18D10}
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19D25
Karoubi-Villamayor-Gersten $K$-theory
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19D35
Negative $K$-theory, NK and Nil
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19D45
Higher symbols, Milnor $K$-theory
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19D50
Computations of higher $K$-theory of rings, See Also {13D15, 16E20}
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19D55
$K$-theory and homology; cyclic homology and cohomology, See also {18G60}
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19D99
None of the above but in this section
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19Exx $K$-theory in geometry
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19E08
$K$-theory of schemes, See also {14C35}
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19E15
Algebraic cycles, See also {14C25, 14C35}
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19E20
Relations with cohomology theories, See also {14Fxx}
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19E99
None of the above but in this section
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19Fxx $K$-theory in number theory, See also {11R70, 11S70}
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19F05
Generalized class field theory, See also {11G45}
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19F15
Symbols and arithmetic, See also {11R37}
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19F27
Etale cohomology, higher regulators, zeta and $L$-functions, See also {11G40, 11R42, 11S40, 14F20, 14G10}
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19F99
None of the above but in this section
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19Gxx $K$-theory of forms, See also {11Exx}
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19G05
Stability for quadratic modules
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19G12
Witt groups of rings, See also {11E81}
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19G24
$L$-theory of group rings, See also {11E81}
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19G38
Hermitian $K$-theory, relations with $K$-theory of rings
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19G99
None of the above but in this section
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19Jxx Obstructions from topology
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19J05
Finiteness and other obstructions in $K_0$
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19J10
Whitehead (and related) torsion
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19J25
Surgery obstructions, See also {57R67}
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19J35
Obstructions to group actions
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19J99
None of the above but in this section
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19Kxx $K$-theory and operator algebras See mainly{ 46L80, and also 46M20}
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19K14
$K_0$ as an ordered group, traces
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19K33
EXT and $K$-homology, See also {55N22}
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19K35
Kasparov theory ($KK$-theory), See also {58G12}
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19K56
Index theory, See also {58G12}
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19K99
None of the above but in this section
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19Lxx Topological $K$-theory, See also {55N15, 55R50, 55S25}
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19L10
Riemann-Roch theorems, Chern characters
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19L20
$J$-homomorphism, Adams operations, See also {55Q50}
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19L41
Connective $K$-theory, cobordism, See also {55N22}
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19L47
Equivariant $K$-theory, See also {55N91, 55P91, 55Q91, 55R91, 55S91}
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19L64
Computations, geometric applications
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19L99
None of the above but in this section
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19M05
Miscellaneous applications of $K$-theory
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Letzte Änderung: 10. Nov. 2010