A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

DOI10.1016/j.jpaa.2014.04.004zbMath1297.55021arXiv1211.2309OpenAlexW2065583337MaRDI QIDQ2249257

Ivo Dell'Ambrogio, Gonçalo Tabuada

Publication date: 10 July 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2309

zbMATH Keywords

Galois extensionBrauer groupQuillen modelMorita theory

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Brauer groups (algebraic aspects) (16K50) Methods of category theory in functional analysis (46M99)

Related Items (4)

Green 2-functors ⋮ On the Structure of Graded Commutative Exponential functors ⋮ Azumaya objects in triangulated bicategories ⋮ Morita homotopy theory for (\(\infty\),1)-categories and \(\infty\)-operads

Cites Work

• Morita homotopy theory of \(\mathrm{C}^\ast\)-categories
• Derived Azumaya algebras and generators for twisted derived categories
• On left and right model categories and left and right Bousfield localizations
• The homotopy theory of dg-categories and derived Morita theory
• The unitary symmetric monoidal model category of small \(C^\ast\)-categories
• Théorie de la descente et algèbres d'Azumaya
• Azumaya categories
• Azumaya objects in triangulated bicategories
• The corestriction of algebraic structures
• ON THE HOMOTOPY THEORY OF ENRICHED CATEGORIES
• The Brauer Group of a Commutative Ring
• Sheafifiable homotopy model categories
• Higher Topos Theory (AM-170)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Quillen model for classical Morita theory and a tensor categorification of the Brauer group