Decomposition of topological Azumaya algebras

DOI10.4153/S000843952100045XMaRDI QIDQ5079427

Niny Arcila-Maya

Publication date: 27 May 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.13081

zbMATH Keywords

projective unitary grouptopological Azumaya algebra

Mathematics Subject Classification ID

Homotopy theory (55P99) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Topological and ordered rings and modules (16W80) Brauer groups (algebraic aspects) (16K50) Postnikov systems, (k)-invariants (55S45) Homotopy groups of special spaces (55Q52) Twisted (K)-theory; differential (K)-theory (19L50)

Cites Work

• Unramified division algebras do not always contain Azumaya maximal orders.
• The space of loops on a Lie group
• The period-index problem for twisted topological \(K\)-theory
• The topological period-index problem over 6-complexes
• The Brauer Group of a Commutative Ring
• On Maximally Central Algebras
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