Boundary maps, germs and quasi-regular representations
نویسندگان
چکیده
We investigate the tracial and ideal structures of C ? -algebras quasi-regular representations stabilizers boundary actions. Our main tool is notion maps, namely ?-equivariant unital completely positive maps from ?- to ( ? F ? ) , where denotes Furstenberg a group ?. For unitary representation ? coming groupoid germs action, we show that there unique map on . Consequently, describe structure for any ?-boundary X characterize simplicity generated by ? / x associated stabilizer subgroups ? As an application, -algebra T Thompson's groups ? does not admit traces simple.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.108130