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fixed point property for banach algebras associated to locally compact groups
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A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2005
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-05-07946-3