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l2-Betti numbers of discrete and non-discrete groups

Published 17 Sep 2015 in math.AT and math.GR | (1509.05234v2)

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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