Shranjeno v:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Izdano: |
2014
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| Teme: | |
| Online dostop: | https://arxiv.org/abs/1408.4312 |
| Oznake: |
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Kazalo:
- We prove that an operator system is (min, ess)-nuclear if its C*-envelope is nuclear. This allows us to deduce that an operator system associated to a generating set of countable discrete group by Farenick et al. is (min, ess)-nuclear if and only if the group is amenable. We also make a detailed comparison between ess and other operator system tensor products and show that an operator system associated to a minimal generating set of a finitely generated discrete group (resp., a finite graph) is (min, max)-nuclear if and only if the group is of order less than or equal to 3 (resp., every component of the graph is complete).