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Trace class groups: the case of semi-direct products

Published 30 Jan 2018 in math.RT and math.FA | (1801.09930v1)

Abstract: In this paper we continue the study of groups of trace class and consider in particular the case of semi-direct products. One of the highlights is the theorem saying that the semi-direct product of a semisimple Lie group G and its Lie algebra is a trace class group if and only if G is compact.

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