• Corpus ID: 119282764

# Two minimal unique ergodic diffeomorphisms on a manifolds and their smooth crossed product algebras

@article{Liu2016TwoMU,
title={Two minimal unique ergodic diffeomorphisms on a manifolds and their smooth crossed product algebras},
author={Hongzhi Liu},
journal={arXiv: Operator Algebras},
year={2016}
}
• Hongzhi Liu
• Published 1 May 2016
• Mathematics
• arXiv: Operator Algebras
In this article we construct two minimal unique ergodic diffeomorphisms $\alpha$ and $\beta$ on $S^3 \times S^{6} \times S^{8}$. We will show that $C(S^3 \times S^{6} \times S^{8}) \rtimes_\alpha \mathbb{Z}$ and $C(S^3 \times S^{6} \times S^{8})\rtimes_\beta \mathbb{Z}$ are equivalent to each other, while $C^\infty (S^3 \times S^{6} \times S^{8})\rtimes_\alpha \mathbb{Z}$ and $C^\infty(S^3 \times S^{6} \times S^{8} )\rtimes_\beta \mathbb{Z}$ are not.

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