The noncommutative geometry of k-graph C*-algebras

DOI10.1017/is007011015jkt013zbMath1167.46036arXivmath/0512438OpenAlexW2046593077MaRDI QIDQ3527581

Adam Rennie, David Pask, Aidan Sims

Publication date: 29 September 2008

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512438

zbMATH Keywords

graph algebraindex theoremKK-theoryspectral triple

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Kasparov theory ((KK)-theory) (19K35) Index theory (19K56)

Related Items

AF-embeddability of 2-graph algebras and quasidiagonality of \(k\)-graph algebras, Self-similark-Graph C*-Algebras, Non-commutative Chern numbers for generic aperiodic discrete systems, Pseudo-Riemannian spectral triples and the harmonic oscillator, \(K\)-theory for real \(k\)-graph \(C^\ast\)-algebras, When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional?, Integration on locally compact noncommutative spaces, Spectral triples for higher-rank graph $C^*$-algebras, Noncommutative manifolds from graph and \(k\)-graph \(C^*\)-algebras, KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space, Twisted \(k\)-graph algebras associated to Bratteli diagrams, The Dixmier trace and asymptotics of zeta functions, Spectral triples for noncommutative solenoidal spaces from self-coverings, Spectral flow invariants and twisted cyclic theory for the Haar state on \(SU_q(2)\), Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions, Index theory for locally compact noncommutative geometries, The ideal structures of self-similar -graph C*-algebras

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