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arXiv · 1404.6169

Independent resolutions for totally disconnected dynamical systems II: C*-algebraic case

Xin Li·Magnus Dahler Norling
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Abstract

We develop the notion of independent resolutions for crossed products attached to totally disconnected dynamical systems. If such a crossed product admits an independent resolution of finite length, then its K-theory can be computed (at least in principle) by analysing the corresponding six-term exact sequences. Building on our previous paper on algebraic independent resolutions, we give a criterion for the existence of finite length independent resolutions. Moreover, we illustrate our ideas in various concrete examples.

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BibTeXRIS

Xin Li, Magnus Dahler Norling. 2014-04-24. Independent resolutions for totally disconnected dynamical systems II: C*-algebraic case. https://arxiv.org/abs/1404.6169

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