Periodicity in the stable representation theory of crystallographic groups

DOI10.1515/form.2011.156zbMath1307.20042arXiv1007.0406OpenAlexW2963389923MaRDI QIDQ3189489

Daniel A. Ramras

Publication date: 11 September 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0406

zbMATH Keywords

cohomologyQuillen-Lichtenbaum conjecturecrystallographic groupsrepresentation spaceshomotopy groupsdeformation \(K\)-theory

Mathematics Subject Classification ID

Connective (K)-theory, cobordism (19L41) Semialgebraic sets and related spaces (14P10) Other geometric groups, including crystallographic groups (20H15) Cohomology theory for linear algebraic groups (20G10) Topological (K)-theory (55N15) Relations of (K)-theory with cohomology theories (19E20) Projective representations and multipliers (20C25)

Related Items

The homotopy groups of a homotopy group completion

Cites Work

• Quasifaserungen und unendliche symmetrische Produkte
• The product formula in unitary deformation \(K\)-theory
• Fibered orbifolds and crystallographic groups
• Yang-Mills theory over surfaces and the Atiyah-Segal theorem
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• Smooth functions invariant under the action of a compact Lie group
• Homology fibrations and the 'group-completion' theorem
• On isolated points in the dual spaces of locally compact groups
• Irreducible projective representations of finite groups
• Excision for deformation \(K\)-theory of free products
• The homotopy limit problem for two-primary algebraic \(K\)-theory
• The stable moduli space of flat connections over a surface
• Derived representation theory and the algebraic K -theory of fields
• The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)
• Completions and Fibrations for Topological Monoids
• The homotopy coniveau tower