性爱视频

Minimal dynamical systems on odd dimensional connected spaces

Huaxin Lin  (University of Oregon)

14:00 pm to 15:00 pm, Apr 14th, 2014   Science Building A1510

Abstract:

Let $\alpha :S^{2n+1}\to S^{2n+1}$ be a minimal homeomorphism ($n\ge 1$). We show that the crossed product $C(S^{2n+1}){⋊}_{\alpha }\mathbb{Z}$ has rational tracial rank at most one. Let $\mathrm{\Omega }$ be a connected compact metric space with finite covering dimension and with $H^1(\mathrm{\Omega },\mathbb{Z})=\{0\}.$ Suppose that $K_0(C(\mathrm{\Omega }))=\mathbb{Z}\oplus G_0$ and $K_1(C(\mathrm{\Omega }))=\mathbb{Z}\oplus G_1,$ where $G_0$ and $G_1$ are finite abelian groups. Let $\beta :\mathrm{\Omega }\to \mathrm{\Omega }$ be a minimal homeomorphism. We also show that $A=C(\mathrm{\Omega }){⋊}_{\beta }\mathbb{Z}$ has rational tracial rank at most one and is $\mathcal{A}.$ In particular, this applies to the minimal dynamical systems on odd dimensional real projective spaces.

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