Periodicity in Rank 2 Graph Algebras
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Publication:3651445
DOI10.4153/CJM-2009-058-0zbMath1177.47087arXiv0705.4499OpenAlexW2949465518MaRDI QIDQ3651445
Dilian Yang, Kenneth R. Davidson
Publication date: 10 December 2009
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.4499
Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Representations of (nonselfadjoint) operator algebras (47L55) Other nonselfadjoint operator algebras (47L75)
Related Items (38)
-ALGEBRAS FROM GROUP REPRESENTATIONS ⋮ BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ KMS states on the operator algebras of reducible higher-rank graphs ⋮ Finitely correlated representations of product systems of \(C^{*}\)-correspondences over \(\mathbb N^k\) ⋮ Higher dimensional generalizations of the Thompson groups ⋮ PERIODIC -GRAPH ALGEBRAS REVISITED ⋮ Higman–Thompson‐like groups of higher rank graph C*‐algebras ⋮ Deformations of Fell bundles and twisted graph algebras ⋮ Operator algebras associated with unitary commutation relations ⋮ The interplay between \(k\)-graphs and the Yang-Baxter equation. ⋮ When is the Cuntz-Krieger algebra of a higher-rank graph approximately finite-dimensional? ⋮ Homology for higher-rank graphs and twisted \(C^*\)-algebras ⋮ Zappa-Szép products of semigroups and their \(C^\ast\)-algebras ⋮ Skew-products of higher-rank graphs and crossed products by semigroups ⋮ Boundary Quotient -algebras of Products of Odometers ⋮ The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources ⋮ KMS states on \(C^\ast\)-algebras associated to higher-rank graphs ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ Atomic representations of rank 2 graph algebras ⋮ KMS states of self-similar \(k\)-graph \(C^*\)-algebras ⋮ Von Neumann algebras of strongly connected higher-rank graphs ⋮ Aperiodicity and primitive ideals of row-finite k-graphs ⋮ Two families of Exel-Larsen crossed products ⋮ PERIODIC 2-GRAPHS ARISING FROM SUBSHIFTS ⋮ Remarks on some fundamental results about higher-rank graphs and their C*-algebras ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space ⋮ Cohomology for small categories: \(k\)-graphs and groupoids ⋮ Cycline subalgebras of 𝑘-graph C*-algebras ⋮ Primitive ideal space of higher-rank graph \(C^\ast\)-algebras and decomposability ⋮ Simplicity of twisted \(C^\ast\)-algebras of higher-rank graphs and crossed products by quasifree actions ⋮ DIRICHLET FORMS AND ULTRAMETRIC CANTOR SETS ASSOCIATED TO HIGHER-RANK GRAPHS ⋮ Generalized gauge actions on $\kappa$-graph $C*-Algebras: KMS states and Hausdorff structure ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph ⋮ Kumjian-Pask algebras of higher-rank graphs ⋮ The Socle and Semisimplicity of a Kumjian–Pask Algebra ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs ⋮ Nonself-adjoint $2$-graph algebras
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