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math.OA2005
On commutative and non-commutative C*-algebras with the approximate n-th root property
A. Chigogidze, A. Karasev, K. Kawamura +1
We say that a C*-algebra X has the approximate n-th root property (n\geq 2) if for every a\in X with ||a||\leq 1 and every ε>0 there exits b\in X such that ||b||\leq 1 and ||a-b^n|…
math.OA2001
Bounded rank of C*-algebras
Alex Chigogidze, Vesko Valov
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…
math.OA1999
Universal C*-algebra of real rank zero
Alex Chigogidze
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.…