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arXiv · 2106.10172

Full realization of ergodic IRS entropy in SL2(Z) and free groups

Liran Ron-George·Ariel Yadin
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Abstract

We show that any a-priori possible entropy value is realized by an ergodic IRS, in free groups and in SL2(Z). This is in stark contrast to what may happen in SLn(Z) for n>2, where only the trivial entropy values can be realized by ergodic IRSs.

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Liran Ron-George, Ariel Yadin. 2021-06-18. Full realization of ergodic IRS entropy in SL2(Z) and free groups. https://arxiv.org/abs/2106.10172

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