Noncommutative Geometry

GPTKB entity

Statements (52)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo gptkb:quantum_physics
gptkb:string_theory
mathematical physics
gptkbp:developedBy gptkb:Alain_Connes
gptkbp:fieldOfStudy gptkb:mathematics
gptkbp:hasApplication gptkb:quantum_gravity
gptkb:K-theory
gptkb:string_theory
gptkb:quantum_Hall_effect
gptkb:cyclic_cohomology
gptkb:noncommutative_tori
dynamical systems
mathematical physics
number theory
index theory
quantum groups
topological phases of matter
standard model of particle physics
operator algebras
foliation theory
modular theory
noncommutative probability
noncommutative measure theory
gptkbp:hasConcept noncommutative geometry
quantum groups
operator algebras
spectral triples
https://www.w3.org/2000/01/rdf-schema#label Noncommutative Geometry
gptkbp:notablePerson gptkb:Israel_Gelfand
gptkb:Marc_Rieffel
gptkb:Nigel_Higson
gptkb:John_von_Neumann
gptkb:Alain_Connes
gptkb:Dan_Voiculescu
gptkb:Max_Karoubi
gptkb:George_Elliott
gptkb:Jean-Louis_Loday
gptkb:Gennadi_Kasparov
gptkbp:notablePublication Noncommutative Geometry (book by Alain Connes)
Noncommutative Geometry and Physics (various authors)
A Short Survey of Noncommutative Geometry (Connes, 1996)
gptkbp:notableWork gptkb:Noncommutative_Geometry_(book)
gptkbp:relatedTo gptkb:C*-algebras
gptkb:quantum_field_theory
gptkb:topology
gptkb:K-theory
gptkb:von_Neumann_algebras
differential geometry
index theory
gptkbp:bfsParent gptkb:C*-algebra
gptkbp:bfsLayer 5