cyclic homology

URI: https://gptkb.org/entity/cyclic_homology
GPTKB entity
Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:cohomology_theory
gptkbp:appliesTo associative algebras
gptkbp:field gptkb:mathematics
gptkb:topology
homological algebra
gptkbp:formsComplexWith cyclic complex
gptkbp:generalizes gptkb:de_Rham_cohomology
gptkbp:hasApplication gptkb:algebraic_geometry
gptkb:quantum_field_theory
gptkb:algebraic_K-theory
number theory
operator algebras
gptkbp:hasDual gptkb:cyclic_cohomology
gptkbp:hasInvariant cyclic homology groups
gptkbp:hasSpectralSequence gptkb:Connes'_spectral_sequence
https://www.w3.org/2000/01/rdf-schema#label cyclic homology
gptkbp:introduced gptkb:Alain_Connes
gptkbp:introducedIn 1981
gptkbp:referencedIn Jean-Louis Loday, Cyclic Homology, Springer, 1992
Alain Connes, Noncommutative Differential Geometry, Publ. Math. IHES, 1985
gptkbp:relatedTo gptkb:K-theory
gptkb:Hochschild_homology
Connes' long exact sequence
SBI sequence
mixed complex
negative cyclic homology
periodic cyclic homology
gptkbp:studiedIn gptkb:category_theory
gptkbp:usedIn noncommutative geometry
gptkbp:bfsParent gptkb:topological_cyclic_homology
gptkb:cyclic_cohomology
gptkbp:bfsLayer 6