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46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} → ZMATH
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W$*-) algebras, etc.) [See also 22D25, 47Lxx] → ZMATH
46L05 General theory of $C^*$-algebras → ZMATH
46L06 Tensor products of $C^*$-algebras → ZMATH
46L07 Operator spaces and completely bounded maps [See also 47L25] → ZMATH
46L08 $C^*$-modules → ZMATH
46L09 Free products of $C^*$-algebras → ZMATH
46L10 General theory of von Neumann algebras → ZMATH
46L30 States → ZMATH
46L35 Classifications of $C^*$-algebras, factors → ZMATH
46L37 Subfactors and their classification → ZMATH
46L40 Automorphisms → ZMATH
46L45 Decomposition theory for $C^*$-algebras → ZMATH
46L51 Noncommutative measure and integration → ZMATH
46L52 Noncommutative function spaces → ZMATH
46L53 Noncommutative probability and statistics → ZMATH
46L54 Free probability and free operator algebras → ZMATH
46L55 Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20] → ZMATH
46L57 Derivations, dissipations and positive semigroups in $C^*$-algebras → ZMATH
46L60 Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10] → ZMATH
46L65 Quantizations, deformations → ZMATH
46L70 Nonassociative selfadjoint operator algebras [See also 46H70, 46K70] → ZMATH
46L80 $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22] → ZMATH
46L85 Noncommutative topology [See also 58B32, 58B34, 58J22] → ZMATH
46L87 Noncommutative differential geometry [See also 58B32, 58B34, 58J22] → ZMATH
46L89 Other ``noncommutative'' mathematics based on $C^*$-algebra theory [See also 58B32, 58B34, 58J22] → ZMATH
46L99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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