La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Query : CC = 58J22
18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]

• 18G60 Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22]

19-XX $K$-theory [See also 16E20, 18F25]

• 19K35 Kasparov theory (KK-theory) [See also 58J22]
• 19K56 Index theory [See also 58J20, 58J22]

46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46L80 K-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
• 46L85 Noncommutative topology [See also 58B32, 58B34, 58J22]
• 46L87 Noncommutative differential geometry [See also 58B32, 58B34, 58J22]
• 46L89 Other ``noncommutative'' mathematics based on C^*-algebra theory [See also 58B32, 58B34, 58J22]

58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]

• 58J22 Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] [New MSC 2000 code]
  • MSC 1991 code in relation : 58G12

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