States of Toeplitz-Cuntz algebras

Details States of Toeplitz-Cuntz algebras States of Toeplitz-Cuntz algebras

1997-02-26

arxiv.org/abs/funct-an/9702019v2

Mathematics

Operator Algebras

19 pages, AMS-LaTeX, substantially revised presentation

Scientific paper

We characterize the state space of a Toeplitz-Cuntz algebra TO_n in terms of positive operator matrices $\Omega$ on Fock space which satisfy sl(\Omega) \le \Omega, where sl(\Omega) is the operator matrix obtained from \Omega by taking the trace in the last variable. Essential states correspond to those matrices \Omega which are slice-invariant. As an application we show that a pure essential product state of the fixed-point algebra for the action of the gauge group has precisely a circle of pure extensions to TO_n.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-117025