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arXiv · 1611.09000

Dynamical Complexity and $K$-Theory of $L^p$ Operator Crossed Products

Yeong Chyuan Chung
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Abstract

We apply quantitative (or controlled) $K$-theory to prove that a certain $L^p$ assembly map is an isomorphism for $p\in[1,\infty)$ when an action of a countable discrete group $Γ$ on a compact Hausdorff space $X$ has finite dynamical complexity. When $p=2$, this is a model for the Baum-Connes assembly map for $Γ$ with coefficients in $C(X)$, and was shown to be an isomorphism by Guentner, Willett, and Yu.

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BibTeXRIS

Yeong Chyuan Chung. 2019-04-26. Dynamical Complexity and $K$-Theory of $L^p$ Operator Crossed Products. https://doi.org/10.1142/s1793525320500314

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