Decomposition theorems for unital graph C*-algebras
Guillaume Bellier, Tatiana Shulman
TL;DR
This paper introduces decomposition theorems for unital graph C*-algebras, enabling a better understanding of their structure and properties such as residual finite-dimensionality and operator norm stability.
Contribution
It provides a complete characterization of residual finite-dimensionality and operator norm stability for unital graph C*-algebras using decomposition techniques.
Findings
Characterization of residual finite-dimensionality
Criteria for operator norm stability
Decomposition into amalgamated free products
Abstract
We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective).
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Taxonomy
TopicsAdvanced Operator Algebra Research · Holomorphic and Operator Theory · Advanced Banach Space Theory