Coarse non-amenability and coarse embeddings

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• Arzhantseva, G (Vienna)
• Wednesday 12 January 2011, 14:00-15:00
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Discrete Analysis

The concept of coarse embedding was introduced by Gromov in 1993. It plays an important role in the study of large-scale geometry of groups and the Novikov higher signature conjecture. Guoliang Yu’s property A is a weak amenability-type condition that is satisfied by many known metric spaces. It implies the existence of a coarse embedding into a Hilbert space.

We construct the first example of a metric space with bounded geometry which coarsely embeds into a Hilbert space, but does not have property A. This is a joint work with Erik Guentner and Jan Spakula.

This talk is part of the Isaac Newton Institute Seminar Series series.

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