Bounded rank of C*-algebras

Details Bounded rank of C*-algebras Bounded rank of C*-algebras

2001-09-16

arxiv.org/abs/math/0109100v2

Mathematics

Operator Algebras

20 pages

Scientific paper

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 insuring that bounded and real ranks coincide. These observations are then used to prove that for a given $n$ and $K > 0$ there exists a separable unital C*-algebra $Z_{n}^{K}$ such that every other separable unital C*-algebra of bounded rank with respect to $K$ at most $n$ is a quotient of $Z_{n}^{K}$.

Affiliated with

Also associated with

No associations

Rating

Bounded rank of C*-algebras 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 Bounded rank of C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounded rank of C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537348