On the nil groups of Waldhausen nils

DOI10.1016/j.topol.2003.08.032zbMath1069.19003arXivmath/0404513OpenAlexW2049455066MaRDI QIDQ1763614

Stratos Prassidis, Daniel Juan-Pineda

Publication date: 22 February 2005

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

Full work available at URL: https://arxiv.org/abs/math/0404513

zbMATH Keywords

nil groupsgroup ringsK-theoryassembly map

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Negative (K)-theory, NK and Nil (19D35) Homology with local coefficients, equivariant cohomology (55N25)

Cites Work

• Modules over finite groups
• Ends of Maps. II
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• Rigidity for aspherical manifolds with \(\pi_1\subset GL_m(\mathbb{R})\)
• Higher \(K\)-theory of group-rings of virtually infinite cyclic groups
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• The groups \(N^ rK_ 0(\mathbb{Z}\pi )\) are finitely generated \(\mathbb{Z} [\mathbb{N}^ r\)-modules if \(\pi\) is a finite group]
• The lower algebraic \(K\)-theory of virtually infinite cyclic groups
• On the lower Nil-groups of Waldhausen
• Isomorphism Conjectures in Algebraic K-Theory
• Nilgroups in K-theory and surgery theory
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