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Fit systolic groups, exactly

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OGGW02 - Actions on graphs and metric spaces

We prove that a class of systolic complexes (that is, complexes with a simplicial non-positive curvature) satisfy Yu’s property A, a coarse geometric property implying e.g. coarse embeddability into a Hilbert space. It follows that groups acting properly on such complexes are exact, or equivalently, boundary amenable. As a consequence, groups from a class containing all large-type Artin groups, as well as all finitely presented graphical C(3)-T(6) small cancellation groups are exact. We use the Špakula-Wright combinatorial criterion for proving Property A. This is joint work with Martín Blufstein, Victor Chepoi, and Huaitao Gui.

This talk is part of the Isaac Newton Institute Seminar Series series.

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