About: Exotic index theories

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Index theory 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 General theory of von Neumann algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
skos:inScheme	MSC 2010
broader concept	Partial differential equations on manifolds; differential operators
skos:prefLabel	Exotic index theories Teorie di indice esotiche 异种指数理论
skos:exactMatch	http://msc2010.org/resources/MSC/2000/58J22
skos:altLabel	Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] 异种指数理论[参见19K56, 46L05, 46L10, 46L80, 46M20] Teorie di indice esotiche [Vedi anche 19K56, 46L05, 46L10, 46L80, 46M20]
http://msc2010.org...0/msc2010#seeAlso	Index theory General theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^*$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras General theory of von Neumann algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
skos:notation	58J22
skos:note	See also 19K56, 46L05, 46L10, 46L80, 46M20.
skos:semanticRelation	Index theory General theory of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C^*$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebras General theory of von Neumann algebras <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory and operator algebras (including cyclic theory) Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
is rdfs:seeAlso of	Other (co)homology theories Kasparov theory (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$KK$"><mml:mi>KK</mml:mi></mml:math>-theory) Index theory <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 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^*$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebra theory
is narrower concept of	Partial differential equations on manifolds; differential operators
is http://msc2010.org...0/msc2010#seeAlso of	Other (co)homology theories Kasparov theory (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$KK$"><mml:mi>KK</mml:mi></mml:math>-theory) Index theory <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 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^*$"><mml:msup><mml:mi>C</mml:mi><mml:mi>⁎</mml:mi></mml:msup></mml:math>-algebra theory
is skos:semanticRelation of	Other (co)homology theories Kasparov theory (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$KK$"><mml:mi>KK</mml:mi></mml:math>-theory) Index theory <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ 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

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