%0 Journal Article
%T Purely infinite simple C*-algebras associated to integer dilation matrices
%A Ruy Exel
%A Astrid an Huef
%A Iain Raeburn
%J Mathematics
%D 2010
%I arXiv
%X Given an n x n integer matrix A whose eigenvalues are strictly greater than 1 in absolute value, let \sigma_A be the transformation of the n-torus T^n=R^n/Z^n defined by \sigma_A(e^{2\pi ix})=e^{2\pi iAx} for x\in R^n. We study the associated crossed-product C*-algebra, which is defined using a certain transfer operator for \sigma_A, proving it to be simple and purely infinite and computing its K-theory groups.
%U http://arxiv.org/abs/1003.2097v1