About: Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^*$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^*$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.)

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À propos de : Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) Goto Sponge NotDistinct Permalink

Attributs	Valeurs
type	Concept
rdfs:seeAlso	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Linear spaces and algebras of operators
skos:inScheme	MSC 2010
broader concept	Functional analysis
narrower concept	General theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Tensor products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Operator spaces and completely bounded maps <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-modules Free products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras General theory of von Neumann algebras States Classifications of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Classification of factors Subfactors and their classification Automorphisms Decomposition theory for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Noncommutative measure and integration Noncommutative function spaces Noncommutative probability and statistics Free probability and free operator algebras Noncommutative dynamical systems Derivations, dissipations and positive semigroups in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Applications of selfadjoint operator algebras to physics Quantizations, deformations Nonassociative selfadjoint operator algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Noncommutative topology Noncommutative differential geometry Other ``noncommutative'' mathematics based on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebra theory None of the above, but in MSC2010 section 46Lxx
skos:prefLabel	自伴算子代数(C-代数、von Neumann(W-)代数等) Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) Selfadjoint operator algebras (<n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><n0:msup><n0:mi>C</n0:mi><n0:mi>⁎</n0:mi></n0:msup></n0:math>-algebras, von Neumann (<n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><n0:msup><n0:mi>W</n0:mi><n0:mi>⁎</n0:mi></n0:msup></n0:math>-) algebras, etc.)
skos:altLabel	Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-) algebras, etc.) [See also 22D25, 47Lxx] 自伴算子代数(C-代数、von Neumann(W-)代数等)[参见22D25, 47Lxx] Selfadjoint operator algebras (<n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><n0:msup><n0:mi>C</n0:mi><n0:mi>⁎</n0:mi></n0:msup></n0:math>-algebras, von Neumann (<n0:math xmlns:n0="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><n0:msup><n0:mi>W</n0:mi><n0:mi>⁎</n0:mi></n0:msup></n0:math>-) algebras, etc.) [See also 22D25, 47Lxx]
http://msc2010.org...0/msc2010#seeAlso	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Linear spaces and algebras of operators
skos:closeMatch	from MSC1991 value of: Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ C$"><mml:mi>C</mml:mi></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ W$"><mml:mi>W</mml:mi></mml:math>-) algebras, etc.), [See also 22D25] from MSC2000 value of: Selfadjoint operator algebras (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras, von Neumann (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ W$"><mml:mi>W</mml:mi></mml:math>-) algebras, etc.) [See also 22D25, 47Lxx]
skos:notation	46Lxx
skos:note	See also 22D25, 47Lxx.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.55
skos:semanticRelation	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Linear spaces and algebras of operators
is rdfs:seeAlso of	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Dynamical systems and ergodic theory Linear spaces and algebras of operators Operator algebra methods
is broader concept of	General theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Tensor products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Operator spaces and completely bounded maps <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-modules Free products of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras General theory of von Neumann algebras States Classifications of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Classification of factors Subfactors and their classification Automorphisms Decomposition theory for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Noncommutative measure and integration Noncommutative function spaces Noncommutative probability and statistics Free probability and free operator algebras Noncommutative dynamical systems Derivations, dissipations and positive semigroups in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras Applications of selfadjoint operator algebras to physics Quantizations, deformations Nonassociative selfadjoint operator algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Noncommutative topology Noncommutative differential geometry Other ``noncommutative'' mathematics based on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebra theory None of the above, but in MSC2010 section 46Lxx
is narrower concept of	Functional analysis
is http://msc2010.org...0/msc2010#seeAlso of	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Dynamical systems and ergodic theory Linear spaces and algebras of operators Operator algebra methods
is skos:semanticRelation of	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$W^$"><mml:msup><mml:mi>W</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras in relation to group representations Dynamical systems and ergodic theory Linear spaces and algebras of operators Operator algebra methods

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