On higher real and stable ranks for CCR C*-algebras

Details On higher real and stable ranks for CCR C*-algebras On higher real and stable ranks for CCR C*-algebras

2007-08-22

arxiv.org/abs/0708.3072v1

Mathematics

Operator Algebras

I intend to submit a revised version of this paper, reflecting comments received, in September and will replace it with the su

Scientific paper

We calculate the real rank and stable rank of CCR algebras which either have only finite dimensional irreducible representations or have finite topological dimension. We show that either rank of A is determined in a good way by the ranks of an ideal I and the quotient A/I in four cases: When A is CCR; when I has only finite dimensional irreducible representations; when I is separable, of generalized continuous trace and finite topological dimension, and all irreducible representations of I are infinite dimensional; or when I is separable, stable, has an approximate identity consisting of projections, and has the corona factorization property. We also present a counterexample on higher ranks of M(A), A subhomogeneous, and a theorem of P. Green on generalized continuous trace algebras.

Affiliated with

Also associated with

No associations

Rating

On higher real and stable ranks for CCR 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 On higher real and stable ranks for CCR C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On higher real and stable ranks for CCR C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-136238