- Title
- More localized automorphisms of the Cuntz algebras
- Creator
- Conti, Roberto; Kimberley, Jason S.; Szymanski, Wojciech
- Relation
- http://arxiv.org/abs/0808.2843v1
- Publisher
- arXiv / Cornell University
- Resource Type
- report
- Date
- 2008
- Description
- We completely determine the localized automorphisms of the Cuntz algebras O_n corresponding to permutation matrices in M_n ⊗ M_n for n=3 and n=4. This result is obtained through a combination of general combinatorial techniques and large scale computer calculations. Our analysis proceeds according to the general scheme proposed in a previous paper, where we analyzed in detail the case of O₂ using labeled rooted trees. We also discuss those proper endomorphisms of these Cuntz algebras which restrict to automorphisms of their respective diagonals. In the case of O₃ we compute the number of automorphisms of the diagonal induced by permutation matrices in M₃ ⊗ M₃ ⊗ M₃.
- Subject
- Cuntz algebra; endomorphism; automorphism; permutation; tree
- Identifier
- http://hdl.handle.net/1959.13/38311
- Identifier
- uon:4295
- Language
- eng
- Full Text
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