Bounded Rank of C* -Algebras

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 )
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Abstract: We introduce a concept of the bounded rank (with respect to a positive constant) for unital C * -algebras as a modification of the usual real rank and present a series of conditions insuring that bounded and real ranks coincide. These observations are then used to prove that for a given n and K > 0 there exists a separable unital C*-algebra ZKn such that every other separable unital C *-algebra of bounded rank with respect to K at most n is a quotient of ZKn .

Additional Information

arXiv:math/0109100v2 [math.OA] 7 Apr 2002
Language: English
Date: 2002
Real rank, Bounded rank, Direct limit

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