3 papers
math.OA2025
On the inclusion $\cO_2 \subset \cQ_2$
Jacopo Bassi, Roberto Conti
The diadic -algebra $\cQ_2$ contains canonically a copy of the Cuntz algebra $\cO_2$. It is shown that the inclusion $\cO_2 \subset \cQ_2$ is -irreducible and rigid. It f…
math.OA2018
On -algebras associated to actions of discrete subgroups of on the punctured plane
Jacopo Bassi
Dynamical conditions that guarantee stability for discrete transformation group -algebras are determined. The results are applied to the case of some discrete subgroups of $SL…
math.OA2018
Remarks on some simple -algebras admitting a unique lower semicontinuous -quasitrace
Jacopo Bassi
Using different descriptions of the Cuntz semigroup and of the Pedersen ideal, it is shown that -unital simple -algebras with almost unperforated Cuntz semigroup, a unique…