Separable representations, KMS states, and wavelets for higher-rank graphs

DOI10.1016/j.jmaa.2015.09.003zbMath1352.46049arXiv1505.00485OpenAlexW2964102165MaRDI QIDQ890501

Carla Farsi, Judith A. Packer, Sooran Kang, Elizabeth Gillaspy

Publication date: 10 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00485

zbMATH Keywords

separable representations\(\Lambda\)-semibranching function systemsCantor-type fractal subspaces of \([0,1\)]Cuntz-Krieger \(C^\ast\)-algebras of \(k\)-graphs

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (19)

BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ Preferred traces on \(C^{\ast}\)-algebras of self-similar groupoids arising as fixed points ⋮ The Toeplitz noncommutative solenoid and its Kubo–Martin–Schwinger states ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Monic representations of finite higher-rank graphs ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ Monopoles, dipoles, and harmonic functions on Bratteli diagrams ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Representations and the reduction theorem for ultragraph Leavitt path algebras ⋮ Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems ⋮ Representations of relative Cohn path algebras ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations ⋮ Irreducible and permutative representations of ultragraph Leavitt path algebras ⋮ On graph algebras from interval maps ⋮ DIRICHLET FORMS AND ULTRAMETRIC CANTOR SETS ASSOCIATED TO HIGHER-RANK GRAPHS ⋮ Structure of free semigroupoid algebras ⋮ Generalized gauge actions on $\kappa$-graph $C*-Algebras: KMS states and Hausdorff structure ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs

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