Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Reiter nets for semidirect products of amenable groups and semigroups

Author(s): Benjamin Willson
Journal: Proc. Amer. Math. Soc. 137 (2009), 3823-3832.
MSC (2000): Primary 43A07, 22D05
Posted: July 14, 2009
MathSciNet review: 2529892
Retrieve article in: PDF

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Abstract: In this paper we study Reiter nets for semidirect products of locally compact groups. A Reiter net is a net in which satisfies Reiter's condition (P1). These are nets of means which converge to left invariance in norm uniformly on compact subsets of . We provide two methods to combine Reiter nets for two groups to create a Reiter net for their semidirect product. We also present analogous results for combining Følner nets for locally compact groups and for Reiter nets for semidirect products of discrete semigroups.

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