C*-Algebras of Infinite Real Rank
- UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
- A. "Alex" Chigogidze, Professor and Department Chair (Creator)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
Abstract: We introduce the notion of weakly (strongly) infinite real rank for unital C *-algebras. It is shown that a compact space X is weakly (strongly)
infine-dimensional if and only if C(X) has weakly (strongly) infinite real rank. Some other properties of this concept are also investigated. In particular, we show that the group C *-algebra C * (F1) of the free group on countable number
of generators has strongly infinite real rank.
C*-Algebras of Infinite Real Rank
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Created on 1/1/2002
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Additional Information
- Publication
- arXiv:math/0205142v1 [math.GN] 14 May 2002
- Language: English
- Date: 2002
- Keywords
- Real rank, Bounded rank, Weakly infinite-dimensional compacta