- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:01
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
subscribers, moving wall 5 years
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
9
2015
1
Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes
Izhar
Oppenheim
Ben Gurion University of the Negev, BEER SHEVA, ISRAEL
Kazhdan property (T), graph Laplacian, continuous cohomology, simplicial complexes, Garland’s method
We extend Ballmann and Światkowski’s work on cohomology of groups acting on simplicial complexes and provide further vanishing results of cohomologies and of property (T). In particular, we give a new criterion for property (T) for groups acting on an $n$-dimensional simplicial complex.
Group theory and generalizations
Manifolds and cell complexes
67
101
10.4171/GGD/306
http://www.ems-ph.org/doi/10.4171/GGD/306