The Connes Spectrum of Group Actions and Group Gradings for Certain Quotient Rings

DOI10.2307/2154939zbMath0834.16038OpenAlexW4256123401MaRDI QIDQ4846080

James Osterburg, Xue Yao

Publication date: 26 September 1995

Full work available at URL: https://doi.org/10.2307/2154939

zbMATH Keywords

semisimple Hopf algebrasfinite group actionsgroup gradingsclassical right rings of quotientssymmetric ring of quotientsConnes spectrum

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Automorphisms and endomorphisms (16W20) Graded rings and modules (associative rings and algebras) (16W50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Smash products of general Hopf actions (16S40)

Cites Work

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• Biinvertible actions of Hopf algebras
• Smash products, inner actions and quotient rings
• Equivariant K-theory and freeness of group actions on \(C^ *\)-algebras
• Cocommutative Hopf algebra actions and the Connes spectrum
• Computing the Connes spectrum of a Hopf algebra
• Hopf crossed products, rings of quotients, and prime ideals
• Group graded rings
• Actions of Commutative Hopf Algebras
• Crossed Products of Semisimple Cocommutative Hopf Algebras

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