Independent resolutions for totally disconnected dynamical systems II: C*-algebraic case
Operator Algebras
2014-04-25 v1 K-Theory and Homology
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.
Cite
@article{arxiv.1404.6169,
title = {Independent resolutions for totally disconnected dynamical systems II: C*-algebraic case},
author = {Xin Li and Magnus Dahler Norling},
journal= {arXiv preprint arXiv:1404.6169},
year = {2014}
}
Comments
27 pages