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Research Article

Finite Dimensional Labeled Graph Algebras

Authors

  • DEBENDRA BANJADE Associate Professor, Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 29528-6054, USA
  • Menassie Ephrem Professor, Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC 29528-6054, USA
  • Dashiell Stevanovich Department of Mathematics, Yale University, New Haven, CT 06520-8283, USA

Abstract

Given a directed graph E and a labeling L, one forms the labeled graph algebra by taking a weakly left-resolving labeled space (E, L, B) and considering a generating family of partial isometries and projections.  In this paper, we discuss details in the formulation of the algebras, provide examples, and formulate a process that describes the algebra given the graph and a labelling.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

4 (3)

Pages

35-43

Published

2023-09-29

How to Cite

BANJADE, D., Ephrem, M., & Stevanovich, D. (2023). Finite Dimensional Labeled Graph Algebras. Journal of Mathematics and Statistics Studies, 4(3), 35–43. https://doi.org/10.32996/jmss.2023.4.3.5

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Keywords:

Labeled graph, Directed graph, Cuntz--Krieger algebra, Graph algebra