Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras

DOI10.1155/IJMMS/2006/65737zbMath1123.46042arXivmath/0310360OpenAlexW2022632627MaRDI QIDQ884220

Ryan J. Zerr

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310360

zbMATH Keywords

dimension groupsAF algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) Symbolic dynamics (37B10)

Related Items (1)

Harmonic analysis on graphs via Bratteli diagrams and path-space measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• A topological isomorphism invariant for certain af algebras
• On a Certain Class of Operator Algebras
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• Representation theory and numerical AF-invariants. The representations and centralizers of certain states on 𝒪_{𝒹}
• Computation of isomorphism invariants for stationary dimension groups
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams
• Inductive Limits of Finite Dimensional C ∗ -Algebras
• \(C^*\)-algebras by example

This page was built for publication: Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras