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arXiv · 1003.2097

Purely infinite simple C*-algebras associated to integer dilation matrices

Ruy Exel·Astrid an Huef·Iain Raeburn
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Abstract

Given an n x n integer matrix A whose eigenvalues are strictly greater than 1 in absolute value, let σ_A be the transformation of the n-torus T^n=R^n/Z^n defined by σ_A(e^{2πix})=e^{2πiAx} for x\in R^n. We study the associated crossed-product C*-algebra, which is defined using a certain transfer operator for σ_A, proving it to be simple and purely infinite and computing its K-theory groups.

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Ruy Exel, Astrid an Huef, Iain Raeburn. 2010-03-10. Purely infinite simple C*-algebras associated to integer dilation matrices. https://arxiv.org/abs/1003.2097

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