Universal C *-Algebra of Real Rank zero

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
A. "Alex" Chigogidze, Professor and Department Chair (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/

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.

Additional Information

arXiv:math/9911216v2 [math.OA] 16 Apr 2000
Language: English
Date: 2000
Universal C *-algebra, Real rank, Direct limit

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