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arXiv · 0809.1995

The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid

Klaus Thomsen
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Abstract

It is shown that the heteroclinic and homoclinic algebras of a generalized one-dimensional solenoid are simple AH-algebras of real rank zero with no dimension growth and a unique trace. In the orientable case they are AT-algebras, and in the non-orientable case they have two-torsion both in K_1 and K_0.

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Klaus Thomsen. 2008-09-11. The homoclinic and heteroclinic C*-algebras of a generalized one-dimensional solenoid. https://arxiv.org/abs/0809.1995

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