- Title
- More locatized automorphisms of the Cuntz algebras
- Creator
- Conti, Roberto; Kimberley, Jason; Szymanski, Wojciech
- Relation
- Proceedings of the Edinburgh Mathematical Society Vol. 53, Issue 3, p. 619-631
- Publisher Link
- http://dx.doi.org/10.1017/s0013091508000886
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2010
- Description
- We completely determine the localized automorphisms of the Cuntz algebras On corresponding to permutation matrices in Mn ⊗ Mn 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 analysed in detail the case of O₂ using labelled 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 bypermutation matrices in M₃ ⊗M₃⊗M₃.
- Subject
- Cuntz algebras; endomorphisms; automorphisms; permutations; trees
- Identifier
- uon:9668
- Identifier
- http://hdl.handle.net/1959.13/923178
- Identifier
- ISSN:0013-0915
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