Postdoctoral Fellow
University of Toronto
myfirstnamedotmylastname@utoronto.ca
Research · Publications · Teaching · Talks · AI
My research is in operator algebras and analytic group theory.
Massoud Amini and Mehdi Moradi. Bulletin of the London Mathematical Society 55(4) (2023), 2076–2085.
Journal · arXiv:2204.08738
We study characterizations of locally finite-dimensional traces, introduced by Nate Brown, and identify examples arising from discrete amenable groups.
Massoud Amini, Mehdi Moradi, and Ismaeil Mousavi. Journal of Mathematical Analysis and Applications 526(2) (2023), 127266.
Journal · arXiv:2203.00563
We study quasitriangularity for non-selfadjoint operator algebras, connecting finite-dimensional approximations with their representations on Hilbert space. This extends ideas from quasidiagonal C*-algebras to the non-selfadjoint setting.
Mehdi Moradi (2026). arXiv:2610.00231
Motivated by predictions arising from the UCT for nuclear C*-algebras, I prove that the group C*-algebra of every countable discrete amenable group is inner quasidiagonal: it admits a separating family of irreducible quasidiagonal representations.
Mehdi Moradi (2026). arXiv:2609.18793
Closely related to Ozawa’s result that the hyperfinite II₁ factor R is not quasidiagonal, this preprint shows that quasidiagonal traces need not form a face of the tracial state space.
Status: I do not intend to publish it in its current form.
Mehdi Moradi (2026). arXiv:2609.18756
I characterize amenable traces on unital C*-algebras through the innerness of an associated bounded one-cocycle. This gives a cohomological perspective on amenability and leads to a related characterization of embeddability into an ultrapower of the hyperfinite II₁ factor.
Mehdi Moradi and Massoud Amini (2026). arXiv:2606.13924
We continue our study of locally finite-dimensional traces, developing new characterizations and convexity results, together with examples of tracially AF algebras.
Status: The current version contains a gap in the argument claiming that quasidiagonal traces form a face of the tracial state space; that claim should not be relied upon. I will update the arXiv version soon.
