Two families of Exel-Larsen crossed products

DOI10.1016/j.jmaa.2012.08.026zbMath1270.46061arXiv1204.6431OpenAlexW2212172099MaRDI QIDQ691810

Iain Raeburn, Nathan Brownlowe

Publication date: 4 December 2012

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

Full work available at URL: https://arxiv.org/abs/1204.6431

zbMATH Keywords

crossed productgraph algebraHilbert bimodulehigher rank graph

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items

Limit automorphisms of the \(C^\ast\)-algebras generated by isometric representations for semigroups of rationals ⋮ Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras ⋮ C^*-Algebras of algebraic dynamical systems and right LCM semigroups ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stacey crossed products associated to Exel systems
• Discrete product systems of Hilbert bimodules.
• Direct limits, multiresolution analyses, and wavelets
• The ideal structure of the Hecke \(C^*\)-algebra of Bost and Connes
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• Higher rank graph \(C^*\)-algebras
• On covering mappings on solenoids
• Boundary quotients of the Toeplitz algebra of the affine semigroup over the natural numbers
• Type III von Neumann algebras associated with 2-graphs
• Purely infinite simple $C^*$-algebras associated to integer dilation matrices
• Realising the C*-algebra of a higher-rank graph as an Exel crossed product
• C*-algebras associated to product systems of Hilbert bimodules
• Exel's crossed product for non-unital C*-algebras
• Gauge-Invariant Ideals in theC*-Algebras of Finitely Aligned Higher-Rank Graphs
• Exel's crossed product and relative Cuntz–Pimsner algebras
• Projective multi-resolution analyses arising from direct limits of Hilbert modules
• Cuntz's $ax+b$-semigroup C*-algebra over $\mathbb{N}$ and product system C*-algebras
• Dilation Theory for Rank 2 Graph Algebras
• Crossed products by abelian semigroups via transfer operators
• Periodicity in Rank 2 Graph Algebras
• A Semigroup Crossed Product Arising in Number Theory
• The two-prime analogue of the Hecke C*-algebra of Bost and Connes
• On finite-sheeted covering mappings onto solenoids
• Simplicity of C*-algebras associated to higher-rank graphs
• The Analytic Algebras Of Higher Rank Graphs
• Subquotients of Hecke C * -algebras
• Large scale detection of half-flats in CAT(0)-spaces