Metric dimension of reduced C*-algebras of cocycle-twisted transformation groupoids is bounded for polynomial-growth groups and generically infinite for exponential-growth groups.
Introduction to the Rapid Decay property
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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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2026 1verdicts
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Metric dimension of $C^{\ast}$-algebras of cocycle twisted transformation groupoids: Growth and dynamical complexity
Metric dimension of reduced C*-algebras of cocycle-twisted transformation groupoids is bounded for polynomial-growth groups and generically infinite for exponential-growth groups.