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- Affiliated_operator abstract "In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated with the von Neumann algebra of the group. Algebraic properties of affiliated operators have proved important in L2 cohomology, an area between analysis and geometry that evolved from the study of such index theorems.".
- Affiliated_operator wikiPageID "5123403".
- Affiliated_operator wikiPageRevisionID "552608722".
- Affiliated_operator hasPhotoCollection Affiliated_operator.
- Affiliated_operator subject Category:Operator_theory.
- Affiliated_operator subject Category:Von_Neumann_algebras.
- Affiliated_operator type Abstraction100002137.
- Affiliated_operator type Algebra106012726.
- Affiliated_operator type Cognition100023271.
- Affiliated_operator type Content105809192.
- Affiliated_operator type Discipline105996646.
- Affiliated_operator type KnowledgeDomain105999266.
- Affiliated_operator type Mathematics106000644.
- Affiliated_operator type PsychologicalFeature100023100.
- Affiliated_operator type PureMathematics106003682.
- Affiliated_operator type Science105999797.
- Affiliated_operator type VonNeumannAlgebras.
- Affiliated_operator comment "In mathematics, affiliated operators were introduced by Murray and von Neumann in the theory of von Neumann algebras as a technique for using unbounded operators to study modules generated by a single vector. Later Atiyah and Singer showed that index theorems for elliptic operators on closed manifolds with infinite fundamental group could naturally be phrased in terms of unbounded operators affiliated with the von Neumann algebra of the group.".
- Affiliated_operator label "Affiliated operator".
- Affiliated_operator sameAs m.0d3rd8.
- Affiliated_operator sameAs Q4688920.
- Affiliated_operator sameAs Q4688920.
- Affiliated_operator sameAs Affiliated_operator.
- Affiliated_operator wasDerivedFrom Affiliated_operator?oldid=552608722.
- Affiliated_operator isPrimaryTopicOf Affiliated_operator.