Infinite Multiplier Projections and Dichotomy of C∗-Algebras

We study infiniteness of multiplier projections of a stabilized C^∗-algebra and the connection to dichotomy of a C^∗-algebra A in the sense of A being either stably finite or purely infinite. The main result is the reduction of the dichotomy problem for real rank zero algebras to a property on multiplier projections, which could possibly hold for general separable C^∗-algebras.