Strongly torsion generated groups from K-theory of real C*-algebras

DOI10.1017/is008001012jkt039zbMath1176.20030OpenAlexW127648138MaRDI QIDQ3628704

A. J. Berrick, Michel Matthey

Publication date: 20 May 2009

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is008001012jkt039

zbMATH Keywords

perfect groups\(K\)-theoryhomology\(C^*\)-algebrasstrongly torsion generated groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) (K)-theory and homology; cyclic homology and cohomology (19D55) (K)-theory and operator algebras (19K99)

Cites Work

• A classification of K-local spectra
• Algebraic \(K\)-theory of stable \(C^*\)-algebras
• The topology of discrete groups
• Torsion generators for all abelian groups
• The algebraic \(K\)-theory of operator algebras
• A homotopy operation spectral sequence for the computation of homotopy groups
• The spaces that define algebraic \(K\)-theory
• Real \(C^*\)-algebras, united \(K\)-theory, and the Künneth formula
• The range of united \(K\)-theory
• Banach algebras and Bott periodicity
• Every Abelian group is a class group
• A certain exact sequence
• Homological realization of prescribed abelian groups via K-theory
• Excision in algebraic K-theory and Karoubi's conjecture.
• Strongly torsion generated groups
• The Class Group of Dedekind Domains
• Excision in algebraic \(K\)-theory

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