PERIODIC 2-GRAPHS ARISING FROM SUBSHIFTS

DOI10.1017/S0004972709001269zbMath1200.46060arXiv0911.0730OpenAlexW2964100130MaRDI QIDQ3579999

Iain Raeburn, Natasha A. Weaver, David Pask

Publication date: 11 August 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0730

zbMATH Keywords

crossed productgraph algebrasubshift2-graphhigher-rank Cuntz-Krieger algebrasinduced \(C^{*}\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Directed graphs (digraphs), tournaments (05C20)

Related Items

Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ BIPARTITE DIVISOR GRAPH FOR THE PRODUCT OF SUBSETS OF INTEGERS ⋮ \(C^*\)-algebras and fell bundles associated to a textile system

Cites Work

• Unnamed Item
• Unnamed Item
• Rank-two graphs whose \(C^*\)-algebras are direct limits of circle algebras
• Atomic representations of rank 2 graph algebras
• Partially inner \(C^*\)-dynamical systems
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Outer automorphisms and reduced crossed products of simple C*-algebras
• The local structure of twisted covariance algebras
• The Number of Irreducible Polynomials and Lyndon Words with Given Trace
• GROUP EXTENSIONS AND THE PRIMITIVE IDEAL SPACES OF TOEPLITZ ALGEBRAS
• Proper actions which are not saturated
• A family of 2-graphs arising from two-dimensional subshifts
• Periodicity in Rank 2 Graph Algebras
• ON AUTOMORPHISMS OF GENERALIZED CUNTZ ALGEBRAS
• The Toeplitz algebra of a Hilbert bimodule
• Mixing sets and relative entropies for higher-dimensional Markov shifts
• HIGHER-RANK GRAPHS AND THEIR $C^*$-ALGEBRAS
• Simplicity of C*-algebras associated to higher-rank graphs
• Dynamical systems of algebraic origin