Partial Translation Algebras for Trees

2008/04/03 by J. Brodzki, Jacek Brodzki, Brodzki, J. +6
Computer Science · Mathematics · #46L05 #47L80 #Advanced Algebra and Logic #Advanced Graph Theory Research #FOS: Mathematics #Metric Geometry (math.MG) #Operator Algebras (math.OA) #math.MG #math.OA #msc:46L05 #msc:47L80

paper · pdf · doi:10.48550/arxiv.0804.0526

13 pages

arxiv created 2008/04/03 · openalex publication_date 2008/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In arXiv:math/0603621 we introduced the notion of a partial translation C^*-algebra for a discrete metric space. Here we demonstrate that several important classical C^*-algebras and extensions arise naturally by considering partial translation algebras associated with subspaces of trees.

Citations

• Property A, partial translation structures and uniform embeddings in groups

Related

• K-theory and exact sequences of partial translation algebras
• Trees in Partial Higher Dimensional Automata
• Symbolic Dynamics, Partial Dynamical Systems, Boolean Algebras and C*-algebras Generated by Partial Isometries
• C*-algebras of labelled graphs
• Labelled space C^*-algebras as partial crossed products and a\n simplicity characterization