Approximations of subhomogeneous algebras

TL;DR

This paper characterizes n-subhomogeneous C*-algebras through various approximation properties, enhancing understanding of their structure and representation theory.

Contribution

It provides new approximation characterizations of n-subhomogeneous C*-algebras, connecting their structure to representation-theoretic properties.

Findings

Characterization of n-subhomogeneous algebras via approximation properties

Link between algebraic structure and irreducible representations

Enhanced understanding of subhomogeneous C*-algebras

Abstract

Let $n$ be a natural number. Recall that a C*-algebra is said to be $n$-subhomogeneous if all its irreducible representations have dimension at most $n$. In this short note, we give various approximation properties characterising $n$-subhomogeneous C*-algebras.