期刊论文详细信息
Groups, geometry, and dynamics | |
Abstract group actions of locally compact groups on CAT(0) spaces | |
article | |
Philip Möller1  Olga Varghese2  | |
[1] University of Münster;Otto-von-Guericke University Magdeburg | |
关键词: Automatic continuity; locally compact groups; CAT(0) spaces; | |
DOI : 10.4171/ggd/677 | |
学科分类:神经科学 | |
来源: European Mathematical Society | |
【 摘 要 】
We study abstract group actions of locally compact Hausdorff groups on CAT(0) spaces. Under mild assumptions on the action we show that it is continuous or has a global fixed point. This mirrors results by Dudley and Morris–Nickolas for actions on trees. As a consequence we obtain a geometric proof for the fact that any abstract group homomorphism from a locally compact Hausdorff group into a torsion-free CAT(0) group is continuous.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202307150000607ZK.pdf | 297KB | download |