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C*-algebras of Infinite Real Rank by Chigogidze, A.; Valov, V. is a scholarly article available to read on EtoBox.

What is C*-algebras of Infinite Real Rank about?

We introduce the notion of weakly (strongly) infinite real rank for unital $C^{\ast}$-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 $C^{\ast}$-algebra $C^{\ast}({\mathbb F}_{\infty})$ of the free group on countable number of generators has strongly infinite real rank.

Author

Chigogidze, A.; Valov, V.

Published

2002

Language

EN