|
19-XX
|
K-theory
[See also
16E20,
18F25]
|
|
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 also be assigned at least one classification number from section 01}
|
|
19-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
|
19-06
|
Proceedings, conferences, collections, etc.
|
|
19Axx
|
Grothendieck groups and K0
[See also
13D15,
18F30]
|
|
19A13
|
Stability for projective modules
[See also
13C10]
|
|
19A15
|
Efficient generation
|
|
19A22
|
Frobenius induction, Burnside and representation rings
|
|
19A31
|
K0 of group rings and orders
|
|
19A49
|
K0 of other rings
|
|
19A99
|
None of the above, but in this section
|
|
19Bxx
|
Whitehead groups and K1
|
|
19B10
|
Stable range conditions
|
|
19B14
|
Stability for linear groups
|
|
19B28
|
K1 of group rings and orders
[See also
57Q10]
|
|
19B37
|
Congruence subgroup problems
[See also
20H05]
|
|
19B99
|
None of the above, but in this section
|
|
19Cxx
|
Steinberg groups and K2
|
|
19C09
|
Central extensions and Schur multipliers
|
|
19C20
|
Symbols, presentations and stability of K2
|
|
19C30
|
K2 and the Brauer group
|
|
19C40
|
Excision for K2
|
|
19C99
|
None of the above, but in this section
|
|
19Dxx
|
Higher algebraic K-theory
|
|
19D06
|
Q- and plus-constructions
|
|
19D10
|
Algebraic K-theory of spaces
|
|
19D23
|
Symmetric monoidal categories
[See also
18D10]
|
|
19D25
|
Karoubi - Villamayor - Gersten K-theory
|
|
19D35
|
Negative K-theory, NK and Nil
|
|
19D45
|
Higher symbols, Milnor K-theory
|
|
19D50
|
Computations of higher K-theory of rings
[See also
13D15,
16E20]
|
|
19D55
|
K-theory and homology; cyclic homology and cohomology
[See also
18G60]
|
|
19D99
|
None of the above, but in this section
|
|
19Exx
|
K-theory in geometry
|
|
19E08
|
K-theory of schemes
[See also
14C35]
|
|
19E15
|
Algebraic cycles and motivic cohomology
[See also
14C25,
14C35]
|
|
19E20
|
Relations with cohomology theories
[See also
14Fxx]
|
|
19E99
|
None of the above, but in this section
|
|
19Fxx
|
K-theory in number theory
[See also
11R70,
11S70]
|
|
19F05
|
Generalized class field theory
[See also
11G45]
|
|
19F15
|
Symbols and arithmetic
[See also
11R37]
|
|
19F27
|
Etale cohomology, higher regulators, zeta and L-functions
[See also
11G40,
11R42,
11S40,
14F20,
14G10]
|
|
19F99
|
None of the above, but in this section
|
|
19Gxx
|
K-theory of forms
[See also
11Exx]
|
|
19G05
|
Stability for quadratic modules
|
|
19G12
|
Witt groups of rings
[See also
11E81]
|
|
19G24
|
L-theory of group rings
[See also
11E81]
|
|
19G38
|
Hermitian K-theory, relations with K-theory of rings
|
|
19G99
|
None of the above, but in this section
|
|
19Jxx
|
Obstructions from topology
|
|
19J05
|
Finiteness and other obstructions in K0
|
|
19J10
|
Whitehead (and related) torsion
|
|
19J25
|
Surgery obstructions
[See also
57R67]
|
|
19J35
|
Obstructions to group actions
|
|
19J99
|
None of the above, but in this section
|
|
19Kxx
|
K-theory and operator algebras
[See mainly
46L80,
and also
46M20]
|
|
19K14
|
K0 as an ordered group, traces
|
|
19K33
|
EXT and K-homology
[See also
55N22]
|
|
19K35
|
Kasparov theory (KK-theory)
[See also
58J22]
|
|
19K56
|
Index theory
[See also
58J20,
58J22]
|
|
19K99
|
None of the above, but in this section
|
|
19Lxx
|
Topological K-theory
[See also
55N15,
55R50,
55S25]
|
|
19L10
|
Riemann - Roch theorems, Chern characters
|
|
19L20
|
J-homomorphism, Adams operations
[See also
55Q50]
|
|
19L41
|
Connective K-theory, cobordism
[See also
55N22]
|
|
19L47
|
Equivariant K-theory
[See also
55N91,
55P91,
55Q91,
55R91,
55S91]
|
|
19L64
|
Computations, geometric applications
|
|
19L99
|
None of the above, but in this section
|
|
19M05
|
Miscellaneous applications of K-theory
|