Algebraic analogs of the Connes spectrum

DOI10.1016/0021-8693(88)90284-0zbMath0639.16002OpenAlexW1978384872MaRDI QIDQ1100252

Susan Montgomery, Donald S.Passman

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90284-0

zbMATH Keywords

smash productsprime ringsgraded ringsskew group ringsstrong Connes subgroups

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Units, groups of units (associative rings and algebras) (16U60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Central invariants ofH-module algebras ⋮ Ideal intersection property of smash products of graded rings ⋮ The connes spectrums of certain finite non-abelian groups ⋮ McKay quivers and absolute \(n\)-complete algebras. ⋮ Skew group rings and free rings ⋮ Hopf Galois extensions, smash products, and Morita equivalence ⋮ A strong Connes spectrum for finite group actions of simple rings ⋮ A note on algebraic analogs of the cones spectrum

Cites Work

• It's essentially Maschke's theorem
• Galois theory of prime rings
• n-generator ideals in Prüfer domains
• Strongly G-graded rings with component of degree e a semisimple Artinian ring
• Addendum: Prime ideals in crossed products of finite groups
• Applications of the Connes spectrum to \(C^*\)-dynamical systems
• Crossed products over prime rings
• The flow of weights on factors of type III
• Group-Graded Rings, Smash Products, and Group Actions
• Group graded rings
• Une classification des facteurs de type ${\rm III}$
• Duality for crossed products of von Neumann algebras
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