Analysis Seminar

Florin Pop, Wagner College

"Detecting certain properties of C*-algebras"

A C*-algebra $A$ is said to detect a certain property $\mathcal{P}$ (or is a $\mathcal{P}$-detector) if, for any C*-algebra $B$, we have $A\otimes_{\min}B=A\otimes_{\max}B$ is and only if $B$ has property $\mathcal{P}$. In this talk we will survey several properties that can be detected, as well as present the algebras which play the detector's part.