The algebraic \(K\)-theory of the group ring of the Klein bottle group

DOI10.1016/j.topol.2020.107562zbMath1473.19002OpenAlexW3119526094MaRDI QIDQ2661713

Daniel Juan-Pineda, Christian E. Hidber

Publication date: 7 April 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107562

zbMATH Keywords

nonorientable surfacesalgebraic \(K\)-theory of group rings

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) General theory of spectral sequences in algebraic topology (55T05)

Related Items (1)

Bredon homology of Artin groups of dihedral type

Cites Work

• On the ranks of the algebraic \(K\)-theory of hyperbolic groups
• Constructions of \(E_{\mathcal{VC}}\) and \(E_{\mathcal{FBC}}\) for groups acting on CAT(0) spaces.
• Transformation groups and algebraic \(K\)-theory
• Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory
• Models for classifying spaces for \({\mathbb {Z}\rtimes \mathbb {Z}}\)
• The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups
• The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups
• Algebraic K-theory of virtually free groups
• The Farrell–Jones conjecture for virtually solvable groups:
• On the Farrell-Jones Conjecture and its applications
• Every CW-complex is a classifying space for proper bundles
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