Geodesic
Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes
Izhar Oppenheim1
1Ben Gurion University of the Negev, Beer Sheva, Israel
Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 67-101

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DOI

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.
DOI : 10.4171/ggd/306
Classification : 20-XX, 57-XX
Mots-clés : Kazhdan property (T), graph Laplacian, continuous cohomology, simplicial complexes, Garland’s method

Izhar Oppenheim  1

1 Ben Gurion University of the Negev, Beer Sheva, Israel 
Izhar Oppenheim. Vanishing of cohomology and property (T) for groups acting on weighted simplicial complexes. Groups, geometry, and dynamics, Tome 9 (2015) no. 1, pp. 67-101. doi: 10.4171/ggd/306
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     title = {Vanishing of cohomology and property {(T)} for groups acting on weighted simplicial complexes},
     journal = {Groups, geometry, and dynamics},
     pages = {67--101},
     year = {2015},
     volume = {9},
     number = {1},
     doi = {10.4171/ggd/306},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/306/}
}
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