Boundaries of systolic groups
by
Damian Osajda
Universite Paris 6
Coauthors: Piotr Przytycki (Wroclaw)

Systolic (or simplicially non-positively curved) complexes are simplicial complexes whose properties resemble the ones of non-positively curved spaces. We define and study an ideal boundary of a systolic complex admitting a geometric action of a group (systolic group). For a free action our boundary is an example of the EZ-structure defined by Bestvina and Farrel-Lafont. In this case, the existence of such a structure implies e.g. that the Novikov conjecture holds for the group acting on the complex.

Date received: December 6, 2006