Open AccessVanishing of cohomology and property (T) for groups acting on weighted simplicial complexes
Author(s) -
Izhar Oppenheim
Publication year - 2015
Publication title -
groups geometry and dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.05
H-Index - 25
eISSN - 1661-7215
pISSN - 1661-7207
DOI - 10.4171/ggd/306
Subject(s) - mathematics , cohomology , simplicial complex , property (philosophy) , h vector , pure mathematics , group (periodic table) , abstract simplicial complex , betti number , combinatorics , philosophy , epistemology , chemistry , organic chemistry
We extend Ballmann and Swiatkowski's work on $L^2$-cohomology of groups acting on simplicial complexes and provide further vanishing results of $L^2$-cohomologies. In particular, we give a new criterion for property (T) for groups acting on an n-dimensional simplcial complex.
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