Sums of two-dimensional spectral triples

DOI10.7146/math.scand.a-15015zbMath1155.58003arXivmath/0601024OpenAlexW1577505152WikidataQ59123182 ScholiaQ59123182MaRDI QIDQ3534679

Cristina Ivan, Erik Christensen

Publication date: 4 November 2008

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601024

zbMATH Keywords

\(C^*\)-algebranon-commutative geometryDixmier tracecompact metric spacespectral triple

Mathematics Subject Classification ID

Noncommutative topology (46L85) Compact (locally compact) metric spaces (54E45) Noncommutative geometry (à la Connes) (58B34)

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Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets ⋮ The category of compact quantum metric spaces ⋮ Ahlfors regularity and fractal dimension of Smale spaces ⋮ A characterization of subshifts with bounded powers ⋮ Spectral metric spaces for Gibbs measures ⋮ Dirac operators and spectral triples for some fractal sets built on curves ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Dirac operators and geodesic metric on the harmonic Sierpiński gasket and other fractal sets ⋮ A spectral triple for a solenoid based on the Sierpinski gasket ⋮ Quantum isometry groups of $0$-dimensional manifolds ⋮ A metric characterisation of repulsive tilings ⋮ A classification of aperiodic order via spectral metrics and Jarník sets ⋮ Lipschitz isomorphisms of compact quantum metric spaces

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