3 citations · 9 across the 8 of their papers we have counts for
9 papers
The Dynamical Radius of Comparison for C*-Dynamical Systems
M. Ali Asadi-Vasfi, N. Christopher Phillips
We introduce a dynamical version of the radius of comparison of a unital C*-algebra, based on the dynamical Cuntz semigroup. We a…
The Rank Ratio Function and the Radius of Comparison
M. Ali Asadi-Vasfi
For any given Cuntz semigroup, we introduce a function associated to it, called the ``Rank Ratio Function". This function ensures global control over the oscillation of the rank of…
The relative radius of comparison of the crossed product of a non-unital C*-algebra by a finite group
M. Ali Asadi-Vasfi, George A. Elliott
In this paper, we prove results on the relative radius of comparison of C*-algebras and their crossed products, focusing on the non-unital setting. More precisely, let be a sta…
The radius of comparison for actions of Z^d on simple AH algebras
M. Ali Asadi-Vasfi, Ilan Hirshberg, Apurva Seth
Given 0 \leq r' \leq r \leq \infty, and d \in N, we construct a simple unital AH algebra A with stable rank one, and a pointwise outer action α: Z^d \to Aut(A), such that rc(A)=r a…
Ranks of soft operators in nowhere scattered C*-algebras
M. Ali Asadi-Vasfi, Hannes Thiel, Eduard Vilalta
We show that for C*-algebras with the Global Glimm Property, the rank of every operator can be realized as the rank of a soft operator, that is, an element whose hereditary sub-C*-…
Weakly tracially approximately representable actions
M. Ali Asadi-Vasfi
We describe a weak tracial analog of approximate representability under the name "weak tracial approximate representability" for finite group actions. Let be a finite abelian g…
The radius of comparison of the crossed product by a tracially strictly approximately inner action
M. Ali Asadi-Vasfi
Let be a finite group, let be an infinite-dimensional stably finite simple unital C*-algebra, and let be a tracially strictly approxi…
The radius of comparison of the tensor product of a C*-algebra with
Mohammad B. Asadi, M. Ali Asadi-Vasfi
Let be a compact metric space, let be a unital AH algebra with large matrix sizes, and let be a stably finite unital C*-algebra. Then we give a lower bound for the radi…
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…