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gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
gptkb:C*-algebras
|
|
gptkbp:developedBy
|
1960s
|
|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:hasSubfield
|
gptkb:topology
operator algebras
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
C*-algebra K-theory
|
|
gptkbp:notableAchievement
|
gptkb:Universal_Coefficient_Theorem
gptkb:Brown-Douglas-Fillmore_theory
gptkb:Kasparov's_KK-theory
gptkb:Pimsner-Voiculescu_exact_sequence
gptkb:Atiyah-Singer_index_theorem
gptkb:Baum-Connes_conjecture
gptkb:Elliott_classification_program
|
|
gptkbp:notableIdea
|
gptkb:Bott_periodicity
gptkb:Murray-von_Neumann_equivalence
projective module
exact sequence
K0 group
K1 group
six-term exact sequence
stable isomorphism
|
|
gptkbp:notablePerson
|
gptkb:Marc_Rieffel
gptkb:Nigel_Higson
gptkb:Friedrich_Hirzebruch
gptkb:Jonathan_Rosenberg
gptkb:Michael_Atiyah
gptkb:Alain_Connes
gptkb:Dan_Voiculescu
gptkb:John_Roe
gptkb:George_Elliott
gptkb:Gennadi_Kasparov
gptkb:Joachim_Cuntz
|
|
gptkbp:relatedTo
|
gptkb:Cuntz_algebras
gptkb:algebraic_K-theory
gptkb:cyclic_cohomology
gptkb:AF-algebras
gptkb:E-theory
gptkb:Fredholm_operators
gptkb:K-homology
gptkb:KK-theory
gptkb:noncommutative_tori
topological K-theory
noncommutative topology
crossed product C*-algebras
extensions of C*-algebras
|
|
gptkbp:studies
|
K-groups of C*-algebras
|
|
gptkbp:usedIn
|
gptkb:Baum-Connes_conjecture
noncommutative geometry
index theory
classification of C*-algebras
|
|
gptkbp:bfsParent
|
gptkb:k-theory
|
|
gptkbp:bfsLayer
|
5
|