|
gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
gptkb:C*-algebras
|
|
gptkbp:field
|
gptkb:mathematics
|
|
gptkbp:hasApplication
|
gptkb:quantum_field_theory
topological phases of matter
|
|
gptkbp:hasExactSequence
|
six-term exact sequence
|
|
gptkbp:hasFunctoriality
|
functor from C*-algebras to abelian groups
|
|
gptkbp:hasInvariant
|
K0 group
K1 group
|
|
gptkbp:hasPeriodicity
|
gptkb:Bott_periodicity_(period_2)
|
|
gptkbp:hasSubfield
|
gptkb:topology
operator algebras
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
K-theory of C*-algebras
|
|
gptkbp:K0_group
|
classifies projections up to stable equivalence
|
|
gptkbp:K1_group
|
classifies unitary elements up to homotopy
|
|
gptkbp:notableAchievement
|
gptkb:Atiyah–Singer_index_theorem
gptkb:Brown–Douglas–Fillmore_theory
gptkb:Elliott_classification_program
|
|
gptkbp:notablePerson
|
gptkb:Jonathan_Rosenberg
gptkb:Michael_Atiyah
gptkb:George_Elliott
gptkb:Gennadi_Kasparov
|
|
gptkbp:relatedTo
|
gptkb:algebraic_K-theory
topological K-theory
|
|
gptkbp:studies
|
topological invariants
|
|
gptkbp:usedIn
|
gptkb:Baum-Connes_conjecture
noncommutative geometry
index theory
classification of C*-algebras
|
|
gptkbp:uses
|
gptkb:Bott_periodicity
gptkb:K-groups
exact sequences
|
|
gptkbp:bfsParent
|
gptkb:K-theory
|
|
gptkbp:bfsLayer
|
5
|