46-XX |
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Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx} |
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46Lxx |
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Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) [See also 22D25, 47Lxx] |
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46L05 |
General theory of $C^*$-algebras |
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46L06 |
Tensor products of $C^*$-algebras |
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46L07 |
Operator spaces and completely bounded maps [See also 47L25] |
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46L08 |
$C^*$-modules |
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46L09 |
Free products of $C^*$-algebras |
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46L10 |
General theory of von Neumann algebras |
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46L30 |
States of selfadjoint operator algebras |
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46L35 |
Classifications of $C^*$-algebras |
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46L36 |
Classification of factors |
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46L37 |
Subfactors and their classification |
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46L40 |
Automorphisms of selfadjoint operator algebras |
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46L45 |
Decomposition theory for $C^*$-algebras |
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46L51 |
Noncommutative measure and integration |
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46L52 |
Noncommutative function spaces |
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46L53 |
Noncommutative probability and statistics |
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46L54 |
Free probability and free operator algebras |
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46L55 |
Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 37A55] |
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46L57 |
Derivations, dissipations and positive semigroups in $C^*$-algebras |
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46L60 |
Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10] |
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46L65 |
Quantizations, deformations for selfadjoint operator algebras |
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46L67 |
Quantum groups (operator algebraic aspects) |
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46L70 |
Nonassociative selfadjoint operator algebras [See also 46H70, 46K70] |
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46L80 |
$K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22] |
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46L85 |
Noncommutative topology [See also 58B32, 58B34, 58J22] |
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46L87 |
Noncommutative differential geometry [See also 58B32, 58B34, 58J22] |
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46L89 |
Other "noncommutative'' mathematics based on $C^*$-algebra theory [See also 58B32, 58B34, 58J22] |
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46L99 |
None of the above, but in this section |