Relative commutant pictures of Roe algebras

DOI10.1007/s00220-019-03313-xzbMath1426.46037arXiv1707.04552OpenAlexW2734523089WikidataQ128495750 ScholiaQ128495750MaRDI QIDQ1729883

Aaron Tikuisis, Ján Špakula

Publication date: 28 February 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04552

zbMATH Keywords

quasi-local operatorsRoe algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items

A quasi-local characterisation of \(L^{p}\)-Roe algebras ⋮ Strongly quasi-local algebras and their \(K\)-theories ⋮ Quasi-locality for étale groupoids ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ A Markovian and Roe-algebraic approach to asymptotic expansion in measure ⋮ Polynomial growth and asymptotic dimension ⋮ The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H) ⋮ Extreme cases of limit operator theory on metric spaces ⋮ Quasi-local algebras and asymptotic expanders ⋮ Cartan subalgebras in uniform Roe algebras ⋮ On the structure of asymptotic expanders ⋮ Embeddings of uniform Roe algebras ⋮ Quasi-locality and property A

Cites Work

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• Discrete groups with finite decomposition complexity
• On the structure of the essential spectrum of elliptic operators on metric spaces
• The coarse geometric Novikov conjecture and uniform convexity
• Asymptotic dimension
• The nuclear dimension of \(C^{*}\)-algebras
• An index theorem on open manifolds. I. II
• The Novikov conjecture for groups with finite asymptotic dimension
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Zero-in-the-spectrum conjecture, positive scalar curvature and asymptotic dimension
• Fredholm theory and finite section method for band-dominated operators
• The coarse Baum-Connes conjecture and groupoids
• \(K\)-homology classes of elliptic uniform pseudodifferential operators
• A notion of geometric complexity and its application to topological rigidity
• \(C_{0}\) coarse geometry and scalar curvature.
• Covering dimension for nuclear \(C^*\)-algebras
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Rough index theory on spaces of polynomial growth and contractibility
• Asymptotic dimension, decomposition complexity, and Haver's property C
• On rigidity of Roe algebras
• Asymptotic topology
• On Gromov's positive scalar curvature conjecture for duality groups
• Amenable actions and exactness for discrete groups
• COVERING DIMENSION AND QUASIDIAGONALITY
• The topology of positive scalar curvature
• LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY
• Exactness and the Novikov conjecture