|
gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
gptkb:C*-algebras
|
|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:generalizes
|
gptkb:algebraic_K-theory
topological K-theory
|
|
gptkbp:hasApplication
|
gptkb:quantum_field_theory
mathematical physics
topological phases of matter
|
|
gptkbp:hasInvariant
|
K0 group
K1 group
higher K-groups
|
|
gptkbp:hasSubfield
|
gptkb:topology
operator algebras
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
K-theory for C*-algebras
|
|
gptkbp:introduced
|
gptkb:Friedrich_Hirzebruch
gptkb:Michael_Atiyah
|
|
gptkbp:relatedConcept
|
K0 group
K1 group
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:Murray-von_Neumann_equivalence
gptkb:vector_bundles
projective modules
exact sequences
|
|
gptkbp:studies
|
topological invariants
|
|
gptkbp:usedIn
|
gptkb:Baum-Connes_conjecture
noncommutative geometry
index theory
classification of C*-algebras
|
|
gptkbp:uses
|
gptkb:Universal_Coefficient_Theorem
gptkb:Cuntz_algebras
gptkb:Kasparov's_KK-theory
gptkb:Atiyah–Hirzebruch_spectral_sequence
gptkb:Ext_functor
gptkb:Rosenberg–Schochet_theorem
gptkb:AF-algebras
gptkb:Brown–Douglas–Fillmore_theory
gptkb:Cuntz_semigroup
gptkb:E-theory
gptkb:Elliott_classification_program
gptkb:Grothendieck_group_construction
gptkb:Pimsner–Voiculescu_sequence
homological algebra
long exact sequence
functoriality
six-term exact sequence
stable isomorphism
exact functors
suspension functor
|
|
gptkbp:bfsParent
|
gptkb:Karoubi's_K-theory
|
|
gptkbp:bfsLayer
|
6
|