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< 46Kxx | 46-XX | 46Mxx >
46-XX Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}
46Lxx Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx]
46L05   General theory of $C^*$-algebras
46L06   Tensor products of $C^*$-algebras
46L07   Operator spaces and completely bounded maps [See also 47L25]
46L08   $C^*$-modules
46L09   Free products of $C^*$-algebras
46L10   General theory of von Neumann algebras
46L30   States
46L35   Classifications of $C^*$-algebras
46L36   Classification of factors
46L37   Subfactors and their classification
46L40   Automorphisms
46L45   Decomposition theory for $C^*$-algebras
46L51   Noncommutative measure and integration
46L52   Noncommutative function spaces
46L53   Noncommutative probability and statistics
46L54   Free probability and free operator algebras
46L55   Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
46L57   Derivations, dissipations and positive semigroups in $C^*$-algebras
46L60   Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
46L65   Quantizations, deformations
46L70   Nonassociative selfadjoint operator algebras [See also 46H70, 46K70]
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]
46L99   None of the above, but in this section
< 46Kxx | 46-XX | 46Mxx >
American Mathematical Society