Finitely summable \(\gamma\)-elements for word-hyperbolic groups

DOI10.4171/JNCG/446WikidataQ115481583 ScholiaQ115481583MaRDI QIDQ2140255

Jean-Marie Cabrera, Michael Puschnigg

Publication date: 20 May 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09979

zbMATH Keywords

hyperbolic groupKasparov theoryFredholm modulerips complex\(\gamma\)-element

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Kasparov theory ((KK)-theory) (19K35)

Cites Work

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• The Baum-Connes conjecture with coefficients for hyperbolic groups
• Equivariant KK-theory and the Novikov conjecture
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• The Novikov conjecture for hyperbolic foliations
• Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture
• The Baum-Connes conjecture for hyperbolic groups.
• Groups acting properly on ``bolic spaces and the Novikov conjecture
• \(K\)-homological finiteness and hyperbolic groups
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• Finitely summable Fredholm modules over higher rank groups and lattices
• Straightening and bounded cohomology of hyperbolic groups

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