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arXiv · 0808.2304

Boundaries of systolic groups

Damian Osajda·Piotr Przytycki
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Abstract

For all systolic groups we construct boundaries which are EZ--structures. This implies the Novikov conjecture for torsion--free systolic groups. The boundary is constructed via a system of distinguished geodesics in a systolic complex, which we prove to have coarsely similar properties to geodesics in CAT(0) spaces.

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Damian Osajda, Piotr Przytycki. 2008-08-17. Boundaries of systolic groups. https://arxiv.org/abs/0808.2304

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