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Proper metrics on locally compact groups, and proper affine isometric actions on Banach spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Haagerup, Uffe Przybyszewska, Agata |
| Copyright Year | 2006 |
| Abstract | In this article it is proved, that every locally compact second countable group has a left invariant metric d, which generates the topology on G, and which is proper, ie. every closed d-bounded set in G is compact. Moreover, we obtain the following extension of a result due to N. Brown and E. Guentner: Every locally compact second countable $G$ admits a proper affine action on the reflexive and strictly convex Banach space $\bigoplus^{\infty}_{n=1} L^{2n}(G, d\mu),$ where the direct sum is taken in the $l^2$-sense. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.imada.sdu.dk/~haagerup/proper_metric_preamble.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0606794v1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/0606794v1.pdf |
| Alternate Webpage(s) | http://web.math.ku.dk/~haagerup/publications/proper_metric_preamble.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
