Trace class groups
Anton Deitmar, Gerrit van Dijk

TL;DR
This paper investigates trace class groups, characterizing their properties, criteria for semi-direct products to be trace class, and linking trace class representations to distribution spaces.
Contribution
It establishes that trace class groups are type I, provides criteria for semi-direct products to be trace class, and connects trace class representations with distribution space realizations.
Findings
Trace class groups are type I.
Criteria for semi-direct products to be trace class.
Trace class representations relate to distribution spaces.
Abstract
A representation of a locally compact group is called \e{trace class}, if for every test function the induced operator is a trace class operator. The group is called \e{trace class}, if every is trace class. We show that trace class groups are type I and give a criterion for semi-direct products to be trace class and show that a representation is trace class if and only if can be realized in the space of distributions.
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Taxonomy
TopicsMigration, Ethnicity, and Economy · Race, History, and American Society
