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arXiv · 1010.5842

Symmetry in the Cuntz Algebra on two generators

Man-Duen Choi·Frederic Latremoliere
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Abstract

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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Man-Duen Choi, Frederic Latremoliere. 2010-10-28. Symmetry in the Cuntz Algebra on two generators. https://doi.org/10.1016/j.jmaa.2011.10.008

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