Hongzhi Liu

activity

20162019

collaborators

4 papers

math.KT2019

On localized signature and higher rho invariant of fibered manifolds

Hongzhi Liu, Jinmin Wang

Higher index of signature operator is a far reaching generalization of signature of a closed oriented manifold. When two closed oriented manifolds are homotopy equivalent, one can…

math.DG2018

Additive higher rho invariant for structure group in differential point of view

Baojie Jiang, Hongzhi Liu

In this paper, we adapt part of Weinberger, Xie and Yu's breakthrough work, to define additive higher rho invariant for topological structure group by differential geometric versio…

math.OA2016

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

Hongzhi Liu

In this article we construct two minimal unique ergodic diffeomorphisms $α$ and $β$ on $S^{3} \times S^{6} \times S^{8}$ . We will show that $C(S^3 \times S^{6} \times S^{8}) \rtimes…

math.OA2016

Smooth crossed products induced by minimal unique ergodic diffeomorphisms on odd spheres

Hongzhi Liu

For minimal unique ergodic diffeomorphisms $α_{n}$ of $S^{2 n + 1} (n > 0)$ and $α_{m}$ of $S^{2 m + 1} (m > 0)$ , the $C^{*}$ -crossed product algebra $C (S^{2 n + 1}) ⋊_{α_{n}} Z$ is isomor…