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Introduction to the Rapid Decay property

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arxiv 1604.06387 v2 pith:ECWB3DGS submitted 2016-04-21 math.GR math.FAmath.KTmath.OAmath.PR

classification math.GRmath.FAmath.KTmath.OAmath.PR
keywords propertydecayintroductionrapidcasedefinitionsdetailsdifferent
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This is an introduction to the Rapid Decay property, with a survey of known results and equivalent definitions of this property. We also discuss in details the easy case when G = Z. Everything in this paper is well-known by different sets of people.

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Cited by 1 Pith paper

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  1. Metric dimension of $C^{\ast}$-algebras of cocycle twisted transformation groupoids: Growth and dynamical complexity

    math.OA 2026-06 unverdicted novelty 5.0 of 10

    Metric dimension of reduced C*-algebras of cocycle-twisted transformation groupoids is bounded for polynomial-growth groups and generically infinite for exponential-growth groups.

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