Joachim Zacharias (University of Glasgow)
On a finite section method to approximate exact C*-algebras
Abstract: Exact C*-algebras are an important class of C*-algebras which is closed under subalgebras and contains all nuclear C*-algebras. A basic result due to Kirchberg asserts that any such separable C*-algebra is a sub-quotient of a UHF-algebra.
We give a short survey on exact C*-algebras, indicating a simplified ‘finite-section’ approach to Kirchberg’s basic result and outline possible applications, including a Stone-Weierstrass type Theorem for exact C*-algebras.