Causal compactification of compactly causal spaces
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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.References
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Additional Information
- Frank Betten
- Affiliation: Mathematisches Institut, Universität Göttingen, Bunsenstraße 3–5, D–37073 Göttingen, Germany
- Received by editor(s): October 7, 1996
- Published electronically: July 28, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 4699-4721
- MSC (2000): Primary 53C35; Secondary 32M15
- DOI: https://doi.org/10.1090/S0002-9947-03-03010-1
- MathSciNet review: 1997579