Biringer, Ian and Bowen, Lewis and Tamuz, Omer (2017) Invariant random subgroups of semidirect products. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170712-084843331
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Abstract
We study invariant random subgroups (IRSs) of semidirect products G=A⋊Γ. In particular, we characterize all IRSs of parabolic subgroups of SL_d(R), and show that all ergodic IRSs of R^d⋊SL_d(R) are either of the form R^d⋊K for some IRS of SL_d(R), or are induced from IRSs of Λ⋊SL(Λ), where Λ<R^d is a lattice.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||||||||
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| Additional Information: | Supported in part by NSF grant DMS-1611851 and CAREER Award DMS-1654114. Supported in part by NSF grant DMS-0968762, NSF CAREER Award DMS-0954606 and BSF grant 2008274. This work was supported by a grant from the Simons Foundation (#419427, Omer Tamuz). | ||||||||||||||
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| Record Number: | CaltechAUTHORS:20170712-084843331 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170712-084843331 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 78991 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 12 Jul 2017 17:15 | ||||||||||||||
| Last Modified: | 03 Oct 2019 18:14 |
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