3 papers
math.OA2025
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…
math.OA2025
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…
math.OA2025
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…