Infinite dimensional non-positively curved symmetric spaces of finite rank

Details Infinite dimensional non-positively curved symmetric spaces of finite rank Infinite dimensional non-positively curved symmetric spaces of finite rank

2011-09-02

arxiv.org/abs/1109.0441v2

Mathematics

Differential Geometry

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Scientific paper

10.1093/imrn/rns093

This paper concerns a study of three families of non-compact type symmetric
spaces of infinite dimension. Although they have infinite dimension they have
finite rank. More precisely, we show they have finite telescopic dimension. We
also show the existence of Furstenberg maps for some group actions on these
spaces. Such maps appear as a first step toward superrigidity results.

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