English

Symmetry in the Cuntz Algebra on two generators

Operator Algebras 2011-11-04 v2

Abstract

We investigate the structure of the automorphism of O2\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 O2\mathcal{O}_{2} and we detail the relationship between the crossed-product and fixed point subalgebra.

Keywords

Cite

@article{arxiv.1010.5842,
  title  = {Symmetry in the Cuntz Algebra on two generators},
  author = {Man-Duen Choi and Frederic Latremoliere},
  journal= {arXiv preprint arXiv:1010.5842},
  year   = {2011}
}

Comments

14 Pages. Minor changes and additions to the references section