On commutative and non-commutative C*-algebras with the approximate n-th root property

Details On commutative and non-commutative C*-algebras with the approximate n-th root property On commutative and non-commutative C*-algebras with the approximate n-th root property

2005-03-07

arxiv.org/abs/math/0503130v2

Mathematics

Operator Algebras

17 pages

Scientific paper

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 \epsilon>0 there exits b\in X such that ||b||\leq 1 and ||a-b^n||<\epsilon. Some properties of commutative and non-commutative C*-algebras having the approximate n-th root property are investigated. In particular, it is shown that there exists a non-commutative (resp., commutative) separable unital C*-algebra X such that any other (commutative) separable unital C*-algebra is a quotient of X. Also we illustrate a commutative C*-algebra, each element of which has a square root such that its maximal ideal space has infinitely generated first Cech cohomology.

Affiliated with

Also associated with

No associations

Rating

On commutative and non-commutative C*-algebras with the approximate n-th root property does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On commutative and non-commutative C*-algebras with the approximate n-th root property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On commutative and non-commutative C*-algebras with the approximate n-th root property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-403517