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Infinite Multiplier Projections and Dichotomy of C∗-Algebras
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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.
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