K-theory of operator algebras

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:logic
gptkbp:appliesTo	gptkb:C*-algebras gptkb:von_Neumann_algebras
gptkbp:developedBy	gptkb:Jonathan_Rosenberg gptkb:Michael_Atiyah gptkb:Gennadi_Kasparov gptkb:Joachim_Cuntz
gptkbp:field	gptkb:mathematics
gptkbp:hasApplication	gptkb:quantum_field_theory gptkb:string_theory topological phases of matter
gptkbp:hasConcept	gptkb:Chern_character gptkb:C*-algebra gptkb:Ext_functor gptkb:Morita_equivalence gptkb:AF-algebras gptkb:Baum–Connes_conjecture gptkb:Brown–Douglas–Fillmore_theory gptkb:Cuntz_semigroup gptkb:E-theory gptkb:K-homology gptkb:KK-theory gptkb:Pimsner–Voiculescu_sequence gptkb:Rieffel_induction gptkb:UHF-algebras gptkb:Universal_coefficient_theorem gptkb:noncommutative_tori gptkb:real_K-theory assembly map Kasparov product crossed product index pairing noncommutative topology spectral flow stable isomorphism
gptkbp:hasInvariant	gptkb:K_0_group gptkb:K_1_group
gptkbp:hasSubfield	gptkb:K-theory operator algebras
https://www.w3.org/2000/01/rdf-schema#label	K-theory of operator algebras
gptkbp:relatedTo	gptkb:Bott_periodicity gptkb:Atiyah–Singer_index_theorem gptkb:Elliott_classification_program
gptkbp:studies	projective modules projections in matrix algebras
gptkbp:usedIn	noncommutative geometry index theory classification of C*-algebras
gptkbp:bfsParent	gptkb:K-theory
gptkbp:bfsLayer	5