✦ LIBER ✦

Extension of Flows, Ellis Groups and Groups of Heisenberg Type

✍ Scribed by Paul Milnes

Publisher: John Wiley and Sons
Year: 1991
Tongue: English
Weight: 635 KB
Volume: 150
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19911500107

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✦ Synopsis

I n 1960 F. HAHN proved an embedding theorem for compact extensions of flows. Here we present some analogous results for non-compact extensions. We get our best results for (non-compact) extensions of compact flows, and show that even with the compactness assumption the conclusion cannot be as strong as in HAH"s setting. As examples of groups to which these results can be applied, we consider a group formulation Buggested by L. AUSLANDER (which we prove generalizes only a little H. REITER'S groups of HEISENBERG type). Here we encounter some distal flows and corresponding ELLIS groups.

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