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On the isometry groups of certain CAT(0) spaces and trees

✍ Scribed by Daniel S. Farley

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 80 KB
Volume: 108
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00143-1

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✦ Synopsis

We show that the automorphism group of a locally finite tree is discrete, or pro-finite, or not the inverse limit of an inverse system of discrete groups, and provide necessary and sufficient conditions for each of these possibilities to occur. More generally, we demonstrate that for certain proper CAT(0) spaces X, the group of isometries of X is not an inverse limit of Lie groups.

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