On a generalization of the Howe-Moore property

2019/04/01 by Lobos, Antoine Pinochet
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1904.00953

Abstract

We define a Howe-Moore property relative to a set of subgroups. Namely, a group G has the Howe-Moore property relative to a set F of subgroups if for every unitary representation π of G, whenever the restriction of π to any element of F has no non-trivial invariant vectors, the matrix coefficients vanish at infinity. We prove that a semisimple group has the Howe-Moore property relatively to the family of its factors.

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