Exactness of the Fock space representation of the q-commutation relations

Details Exactness of the Fock space representation of the q-commutation relations Exactness of the Fock space representation of the q-commutation relations

2010-09-02

arxiv.org/abs/1009.0508v1

Communications in Mathematical Physics 308 (2011), No. 1, 115-132

Mathematics

Operator Algebras

20 pages

Scientific paper

We show that for all q in the interval (-1,1), the Fock representation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra. In particular, this implies that the C*-algebra generated by the Fock representation of the q-commutation relations is exact. An immediate consequence is that the q-Gaussian von Neumann algebra is weakly exact for all q in the interval (-1,1).

Affiliated with

Also associated with

No associations

Rating

Exactness of the Fock space representation of the q-commutation relations 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 Exactness of the Fock space representation of the q-commutation relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exactness of the Fock space representation of the q-commutation relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377103