Actions of $\mathbb{Z}^k$ associated to higher rank graphs

DOI10.1017/S0143385702001670zbMath1054.46040arXivmath/0112049OpenAlexW1510457368MaRDI QIDQ4437760

David Pask, Alexander Kumjian

Publication date: 3 December 2003

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112049

zbMATH Keywords

symbolic dynamics\(C^*\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10)

Related Items (17)

Cocycles on groupoids arising from -actions ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Group Actions on Product Systems ⋮ Co-universal \(C^*\)-algebras associated to generalised graphs ⋮ Skew-products of higher-rank graphs and crossed products by semigroups ⋮ TOPOLOGICAL QUIVERS ⋮ Generalised morphisms of 𝑘-graphs: 𝑘-morphs ⋮ Von Neumann algebras of strongly connected higher-rank graphs ⋮ KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Smale spaces from self-similar graph actions ⋮ Groupoid and inverse semigroup presentations of ultragraph \(C^{*}\)-algebras ⋮ Operator algebras for higher rank analysis and their application to factorial languages ⋮ A gauge invariant uniqueness theorem for corners of higher rank graph algebras ⋮ A family of 2-graphs arising from two-dimensional subshifts ⋮ Asymptotic \(C^\ast\)-algebras from \(\mathbb{Z}^k\)-actions on higher rank graphs ⋮ ORBIT EQUIVALENCE ON SELF-SIMILAR GROUPS AND THEIR C*-ALGEBRAS

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