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C*-algebras of infinite real rank
Published online by Cambridge University Press: 17 April 2009
Extract
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* (∞) of the free group on countable number of generators has strongly infinite real rank.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 487 - 496
- Copyright
- Copyright © Australian Mathematical Society 2002