Normality of algebras over commutative rings and the Teichmüller class. III: Examples

DOI10.1007/s40062-017-0175-1zbMath1428.13011OpenAlexW2738717290MaRDI QIDQ1744183

Johannes Huebschmann

Publication date: 16 April 2018

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-017-0175-1

zbMATH Keywords

Galois cohomologyrings of integersnumber fieldsgroup cohomologyAzumaya algebracrossed productBrauer groupcrossed modulenon-abelian cohomologymetacyclic groupnon-commutative Galois theorynormal algebracrossed pairDeuring embedding problemGalois theory of commutative ringsTeichmüller cocycle\({\mathrm {C}}^*\)-algebraBrauer group of a topological space

Mathematics Subject Classification ID

Galois cohomology (12G05) Cohomology of groups (20J06) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Twisted and skew group rings, crossed products (16S35) Brauer groups (algebraic aspects) (16K50) Galois theory and commutative ring extensions (13B05)

Cites Work

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• A bigger Brauer group
• Equivariant Brauer and Picard groups and a Chase-Harrison-Rosenberg exact sequence
• Representing classes in the Brauer group of quadratic number rings as smash products
• Théorie de Galois des anneaux presque-simples. (Galois theory of almost simple rings)
• Cohomology and extensions of Neumann algebras. I
• The mod-p cohomology rings of metacyclic groups
• The equivariant Brauer group and twisted transformation group \(C^*\)-algebras
• An equivariant Brauer group and actions of groups on \(C^*\)-algebras
• Brauer groups, Hopf algebras and Galois theory
• Normality of algebras over commutative rings and the Teichmüller class. I: The absolute case
• Normality of algebras over commutative rings and the Teichmüller class. II: Crossed pairs and the relative case
• Champs continus d'espaces hilbertiens et de \(C^ *\)-algèbres. II
• The Brauer Group of a Commutative Ring
• The Brauer Group of Graded Continuous Trace C ∗ -Algebras
• Group extensions, crossed pairs and an eight term exact sequence.
• Structure globale des extensions regulieres galoisiennes
• Dixmier-Douady Classes of Dynamical Systems and Crossed Products
• Class Field Theory
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Symmetry of algebras over a number field
• Automorphisms of Simple Algebras
• Determination of a $3$-cohomology class in an algebraic number field and belonging algebra-classes
• Cohomology of Group Extensions
• Obstructions to Clifford system extensions of algebras

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