PreprintCC BY 4.0arXiv
Invariant random subgroups of C*-simple groups
Abstract
Let Γ be a countable discrete C*-simple group. Let μ be a Γ-invariant Borel probability measure on Sub(Γ), i.e., an IRS. We show that μ-almost every subgroup H is C*-simple.
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BibTeX
@misc{amrutam2026invariant,
title = {{Invariant random subgroups of $C^*$-simple groups}},
author = {Tattwamasi Amrutam and Mehrdad Kalantar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16974},
eprint = {2609.16974},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16974},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Invariant random subgroups of C^*-simple groups
AU - Tattwamasi Amrutam
AU - Mehrdad Kalantar
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.16974
UR - https://arxiv.org/abs/2609.16974
AB - Let Γ be a countable discrete C^*-simple group. Let μ be a Γ-invariant Borel probability measure on Sub(Γ), i.e., an IRS. We show that μ-almost every subgroup H is C^*-simple.
ER -