On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes
On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes
复制标题
多面体细胞复合体自同构群的L2-上同调和性质(T)
DOI：
10.1007/s000390050022
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发表时间：
1997
影响因子：
2.2
通讯作者：
Jacek Swia tkowski
中科院分区：
文献类型：
--
作者：
W. Ballmann;Jacek Swia tkowski
抽象的。本文更新了加兰关于某些群的上同调的工作，构造了一类满足Kazhdan性质（T）的群，并证明了（4，4）或（6，3）-复形的自同构的适当不连续和上紧群不满足性质（T）.
Abstract. We present an update of Garland's work on the cohomology of certain groups, construct a class of groups many of which satisfy Kazhdan's Property (T) and show that properly discontinuous and cocompact groups of automorphisms of (4,4) or (6,3)-complexes do not satisfy Property (T).