4 papers
math.OA2026
Examples of non-amenable, boundary-amenable dynamical systems
Jacopo Bassi
Let be a discrete countable group with the (AP)-property. It is shown that if acts on a countable set in such a way that the infinite intersection of stabi…
math.OA2026
On inner-amenability and boundary actions
Jacopo Bassi
Let be a discrete countable group. One result in this work is that if is ICC inner-amenable non-amenable then it cannot satisfy the (AO)-property, answering a question po…
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.OA2024
On relative commutants of subalgebras in group and tracial crossed product von Neumann algebras
Tattwamasi Amrutam, Jacopo Bassi
Let be a discrete group acting on a compact Hausdorff space . Given , and , we introduce the notion of contraction of towards with res…