Permutative representations of the Cuntz-Krieger algebras

Details Permutative representations of the Cuntz-Krieger algebras Permutative representations of the Cuntz-Krieger algebras

2005-08-16

arxiv.org/abs/math/0508273v1

Mathematics

Operator Algebras

Scientific paper

We generalize permutative representations of the Cuntz algebras for the \cka\ $\coa$ for any $A$. We characterize cyclic permutative representations by notions of cycle and chain, and show their existence and uniqueness. We show necessary and sufficient conditions for their irreducibility and equivalence. In consequence, we have a complete classification of permutative representations of $\coa$. Furthermore we show decomposition formulae and that the uniqueness of irreducible decomposition holds for permutative representation.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131464