Atiyah's \(L^2\)-index theorem, Kan-Thurston construction, and weak Bass conjecture.

DOI10.1007/s00574-014-0053-yzbMath1323.20048OpenAlexW2464626446WikidataQ123282740 ScholiaQ123282740MaRDI QIDQ744431

Jang Hyun Jo

Publication date: 25 September 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-014-0053-y

zbMATH Keywords

Euler characteristicgroup von Neumann algebras\(L^2\)-Euler characteristicBass conjectures

Mathematics Subject Classification ID

Cites Work

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• Homology with local coefficients and characteristic classes
• The topology of discrete groups
• Every connected space has the homology of a \(K\) \((\pi,1)\)
• Euler characteristics and characters of discrete groups
• Atiyah's \(L^2\)-index theorem.
• Algebraic \(K\)-theory of rings from a topological viewpoint
• Projective and Hilbert modules over group algebras, and finitely dominated spaces
• From acyclic groups to the Bass conjecture for amenable groups.
• Counting homotopy types of manifolds
• On vanishing of \(L^{2}\)-Betti numbers for groups
• Homotopy idempotents on manifolds and Bass' conjectures
• A Short Proof of a Theorem of Kan and Thurston
• Bounding the orders of finite subgroups

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