Symmetry in the Cuntz Algebra on two generators

Details Symmetry in the Cuntz Algebra on two generators Symmetry in the Cuntz Algebra on two generators

2010-10-28

arxiv.org/abs/1010.5842v2

Journal of Mathematical Analysis and Applications 387 (2012) 1050--1060

Mathematics

Operator Algebras

14 Pages. Minor changes and additions to the references section

Scientific paper

10.1016/j.jmaa.2011.10.008

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.

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