activity
20142024
most citedThe category of Bratteli diagrams

9 citations · 22 across the 9 of their papers we have counts for

collaborators

11 papers

math.OA2024

Maximal UHF subalgebras of certain C*-algebras

Nasser Golestani, Saeid Maleki Oche

A well-known result in dynamical systems asserts that any Cantor minimal system has a maximal rational equicontinuous factor which is in fact an odometer, and reali…

math.OA2023

Stable and real rank for crossed products by finite groups

Parisa Elyasi, Nasser Golestani

A long-standing open question in the theory of group actions on C*-algebras is the stable rank of the crossed product. Specifically, N. C. Phillips asked that if a finite group …

math.DS2023

Topological Factoring of Zero Dimensional Dynamical Systems

Nasser Golestani, Maryam Hosseini, Hamed Yahya Oghli

We show that every topological factoring between two zero dimensional dynamical systems can be represented by a sequence of morphisms between the levels of the associated ordered B…

math.OA2022

Group actions on simple tracially -absorbing C*-algebras

Massoud Amini, Nasser Golestani, Saeid Jamali +1

We show that if is a simple (not necessarily unital) tracially -absorbing C*-algebra and is an action of a finite group on …

math.OA2021

Simple tracially -absorbing C*-algebras

Massoud Amini, Nasser Golestani, Saeid Jamali +1

We define a notion of tracial -absorption for simple not necessarily unital C*-algebras, study it systematically, and prove its permanence properties. This extends the…

math.DS2020★ 5 cited

On Topological Rank of Factors of Cantor Minimal Systems

Nasser Golestani, Maryam Hosseini

A Cantor minimal system is of finite topological rank if it has a Bratteli-Vershik representation whose number of vertices per level is uniformly bounded. We prove that if the topo…

math.OA2019★ 1 cited

The Cuntz semigroup and the radius of comparison of the crossed product by a finite group

M. Ali Asadi-Vasfi, Nasser Golestani, N. Christopher Phillips

Let G be a finite group, let A be an infinite-dimensional stably finite simple unital C*-algebra, and let α\colon G \to Aut (A) be an action of G on A which has the weak tracial Ro…

math.OA2017★ 5 cited

The weak tracial Rokhlin property for finite group actions on simple C*-algebras

Marzieh Forough, Nasser Golestani

We develop the concept of weak tracial Rokhlin property for finite group actions on simple (not necessarily unital) C*-algebras and study its properties systematically. In particul…

math.OA2015★ 2 cited

The category of ordered Bratteli diagrams

Massoud Amini, George A. Elliott, Nasser Golestani

A category structure for ordered Bratteli diagrams is proposed in which isomorphism coincides with the notion of equivalence of Herman, Putnam, and Skau. It is shown that the natur…

math.GN2014

Discretization of topological spaces

Massoud Amini, Nasser Golestani

There are several compactification procedures in topology, but there is only one standard discretization, namely, replacing the original topology with the discrete topology. We giv…

math.OA2014★ 9 cited

The category of Bratteli diagrams

Massoud Amini, George A. Elliott, Nasser Golestani

A category structure for Bratteli diagrams is proposed and a functor from the category of AF algebras to the category of Bratteli diagrams is constructed. Since isomorphism of Brat…