Leafwise homotopies and Hilbert-Poincaré complexes. I: Regular HP-complexes and leafwise pull-back maps

DOI10.4171/JNCG/171zbMath1305.53035arXiv1109.0263OpenAlexW2964148037MaRDI QIDQ470342

Indrava Roy, Moulay Tahar Benameur

Publication date: 12 November 2014

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

Full work available at URL: https://arxiv.org/abs/1109.0263

zbMATH Keywords

Morita equivalencefoliationslaminationsimprimitivity bimodulesK-theoretic signaturesK-theory of C*-algebrasleafwise homotopy equivalencemaximal Baum-Connes conjecturerho-invariants

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) (C^*)-modules (46L08) (K)-theory and operator algebras (including cyclic theory) (46L80) Foliations (differential geometric aspects) (53C12) Noncommutative geometry (à la Connes) (58B34)

Related Items (3)

Realizing the analytic surgery group of Higson and Roe geometrically. II: Relative \(\eta\)-invariants ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ The Higson-Roe exact sequence and \(\ell^2\) eta invariants

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