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arXiv · 1509.05234

l2-Betti numbers of discrete and non-discrete groups

Roman Sauer
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Abstract

This survey is an extended version of a talk during the Arbeitsgemeinschaft on totally disconnected locally compact groups, held in Oberwolfach in October 2014. We explain the definition of l2-Betti numbers of locally compact groups -- both discrete and non-discrete. Specific topics include proportionality principle, dimension function, Petersen's definition for locally compact groups, examples.

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Roman Sauer. 2015-09-17. l2-Betti numbers of discrete and non-discrete groups. https://arxiv.org/abs/1509.05234

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