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math.OA2026
An induction proof of strong NF\ for amenable group -algebras
Mehdi Moradi
We give a proof that the full group -algebra of a countable discrete amenable group is strong NF. The representation-theoretic construction uses the exact sequence whose kerne…
math.OA2026
A quasidiagonal -algebra with a nonquasidiagonal maximal tensor square
Mehdi Moradi
We construct a separable unital residually finite-dimensional -algebra whose maximal tensor square contains a proper isometry. In particular, is quasidiagonal whereas…
math.OA2026
On locally finite-dimensional traces II
Mehdi Moradi, Massoud Amini
We continue the study of locally finite-dimensional traces introduced in our earlier work. We give new characterizations of LFD traces in terms of finite-rank projections in irredu…