Universal C*-algebra of real rank zero

Alex Chigogidze

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arXiv · math/9911216

Universal C*-algebra of real rank zero

Alex Chigogidze

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Abstract

It is well-known that every commutative separable unital C*-algebra of real rank zero is a quotient of the C*-algebra of all compex continous functions defined on the Cantor cube. We prove a non-commutative version of this result by showing that the class of all separable unital C*-algebras of real rank zero concides with the class of quotients of a certain separable unital C*-algebra of real-rank zero.

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Alex Chigogidze. 2000-04-16. Universal C*-algebra of real rank zero. https://arxiv.org/abs/math/9911216

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