2 citations · 4 across the 14 of their papers we have counts for
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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 stabili…
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…
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 pose…
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 respec…
An approach to the study of boundary actions
Jacopo Bassi
Given an action of a discrete countable group on a countable set , it is studied the relationship between properties of the associated Calkin representation and t…
Isometry groups of inductive limits of metric spectral triples and Gromov-Hausdorff convergence
Jacopo Bassi, Roberto Conti, Carla Farsi +1
In this paper we study the groups of isometries and the set of bi-Lipschitz automorphisms of spectral triples from a metric viewpoint, in the propinquity framework of Latremoliere.…
On isometries of spectral triples associated to -algebras and crossed products
J. Bassi, R. Conti
We examine the structure of two possible candidates of isometry groups for the spectral triples on -algebras introduced by Christensen and Ivan. In particular, we completely de…
A mixing property for the action of $\SL(3,\mathbb{Z})\times\SL(3,\mathbb{Z})$ on the Stone-Cech boundary of $\SL(3,\mathbb{Z})$
Jacopo Bassi, Florin Radulescu
By analogy with the construction of the Furstenberg boundary, the Stone-{\v C}ech boundary of $\SL(3,\mathbb{Z})$ is a fibered space over products of projective matrices. The proxi…
An example of a non-amenable dynamical system which is boundary amenable
Jacopo Bassi, Florin Radulescu
It is shown that the action of on the Stone-uCech boundary of is amenable. This confirms a prediction by…
Local trivializations of suspended minimal Cantor systems and the stable orbit-breaking subalgebra
Jacopo Bassi
It is introduced an analogue of the orbit-breaking subalgebra for the case of free flows on locally compact metric spaces, which has a natural approximate structure in terms of a f…
Separable boundaries for non-hyperbolic groups
Jacopo Bassi, Florin Radulescu
We exhibit examples of separable boundaries for non-hyperbolic groups. The main ingredient is the alignment property introduced by Furman in the study of rigidity properties of dis…
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…
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…
Spectral triples on the Jiang-Su algebra
Jacopo Bassi, Ludwik Dabrowski
We construct spectral triples on a class of particular inductive limits of matrix-valued function algebras. In the special case of the Jiang-Su algebra we employ a particular -…