Causal compactification of compactly causal spaces

Betten, Frank

doi:10.1090/S0002-9947-03-03010-1

Causal compactification of compactly causal spaces
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by Frank Betten PDF

Trans. Amer. Math. Soc. 355 (2003), 4699-4721 Request permission

Abstract:

We give a classification of causal compactifications of compactly causal spaces. Introduced by Ólafsson and Ørsted, for a compactly causal space $G/H$, these compactifications are given by $G$-orbits in the Bergman-Šilov boundary of $G_1/K_1$, with $G \subset G_1$ and $(G_1, K_1, \theta )$ a Hermitian symmetric space of tube type. For the classical spaces an explicit construction is presented.

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