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arXiv · 1512.02681

Negative type functions on groups with polynomial growth

Fabio Cipriani·Jean-Luc Sauvageot
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Abstract

The aim of this work is to show that on a locally compact, second countable, compactly generated group $G$ with polynomial growth and homogeneous dimension $d_h$, there exist a continuous, proper, negative definite function $\ell$ with polynomial growth dimension $d_\ell$ arbitrary close to $d_h$.

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Fabio Cipriani, Jean-Luc Sauvageot. 2015-12-08. Negative type functions on groups with polynomial growth. https://arxiv.org/abs/1512.02681

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