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To a prime p and a subgroup E ≤ ℤₚ^(×) containing -1, Marashdeh attaches a nested chain of subspaces V₀ ⊆ V₁ ⊆ … of ℂᵖ, generated from the two point masses δ₀,δ₁ by the class matrices of the cyclotomic scheme and the diagonal idempotents of the basepoint pa…

For p>0 and positive semidefinite matrices X,Y, Komálovics and Molnár set XκₚY=(X^(p/4)Y^(p/2)X^(p/4))^(1/p) and dₚ(X,Y)=(Tr((X+Y)/2-XκₚY))^(1/2), a one-parameter family through the quantum Hellinger (p=1) and Bures (p=2) distances, and asked (their Problem…

Lim (arXiv:2601.13490) derives from a noncommutative Minkowski integral inequality a necessary condition for a fusion ring to be the Grothendieck ring of a unitary fusion category: for every triple of basis elements, every exponent 1 ≤ p<∞ and every nonnega…

A permutation u of the discrete square [n]² is stable of rank one when u ⊗ 1 and 1 ⊗ u commute in S([n]³); by a theorem of Conti and Szymański the stable permutations are exactly those whose induced endomorphism of the Cuntz algebra Oₙ is an automorphism. B…

Eilers, Restorff, Ruiz and Sørensen close their geometric classification of graph C^*-algebras with an atlas of small graphs. A simple graph there is a finite directed graph with loops allowed and no multiple edges, and two such graphs with at most M vertic…