Centrally Large Subalgebras and Tracial $\mathcal{Z}$-Absorption

Dawn Archey, Julian Buck, N. Christopher Phillips

Let $A$ be a simple infinite dimensional stably finite unital C*-algebra, and let $B$ be a centrally large subalgebra of $A$. We prove that if $A$ is tracially $\mathcal{Z}$-abso…