Characterization of linear groups whose reduced C*-algebras are simple

Details Characterization of linear groups whose reduced C*-algebras are simple Characterization of linear groups whose reduced C*-algebras are simple

2008-12-12

arxiv.org/abs/0812.2486v7

Mathematics

Group Theory

42 pages; In previous versions, statement of Proposition 2.11 was erroneous. Here is the list of resulting corrections: statem

Scientific paper

The reduced C*-algebra of a countable linear group G is shown to be simple if
and only if G has no nontrivial normal amenable subgroups. Moreover, these
conditions are shown to be equivalent to the uniqueness of tracial state on the
aforementioned C*-algebra.

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