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math.RA2001
of purely infinite simple regular rings
P. Ara, K. R. Goodearl, E. Pardo
We extend the notion of a purely infinite simple C*-algebra to the context of unital rings, and we study its basic properties, specially those related to K-Theory. For instance, if…
math.RA2001
Extensions and Pullbacks in QB-rings
Pere Ara, Gert K. Pedersen, Francesc Perera
We prove a new extension result for rings that allows us to examine extensions of rings where the ideal is purely infinite and simple. We then use this result to explore vario…