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math.OA2025
Selfless Inclusions of C*-Algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Gregory Patchell +1
We introduce and study a natural notion of selflessness for inclusions of C*-probability spaces, which in particular implies that all intermediate C*-algebras are selfless in the s…
math.RA2025
Products of commutators in simple algebras
Matej Brešar, Hau-Yuan Jang, Leonel Robert
Let be a finite-dimensional simple algebra that is not a field. We show that every can be written as for some . This is not always tru…
math.OA2025
Selfless reduced free product -algebras
Ben Hayes, Srivatsav Kunnawalkam Elayavalli, Leonel Robert
We study selflessness in the general setting of reduced free products of -algebras. Towards this end, we develop a suitable theory of rapid decay for filtrations in arbitrary…