Symmetry in the Cuntz Algebra on two generators
- Resource Type
- Working Paper
- Authors
- Choi, Man-Duen; Latremoliere, Frederic
- Source
- Journal of Mathematical Analysis and Applications 387 (2012) 1050--1060
- Subject
- Mathematics - Operator Algebras
46L55, 46L80
- Language
We investigate the structure of the automorphism of $\mathcal{O}_{2}$ which exchanges the two canonical isometries. Our main observation is that the fixed point C*-subalgebra for this action is isomorphic to $\mathcal{O}_{2}$ and we detail the relationship between the crossed-product and fixed point subalgebra.
Comment: 14 Pages. Minor changes and additions to the references section