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math.OA2026
Noncommutative majorization
Matthew Kennedy, Paul Skoufranis
We introduce a theory of noncommutative majorization that extends the classical majorization theory introduced by Hardy, Littlewood and Pólya to tuples of self-adjoint matrices tha…
math.OA2026
Simplicity of reduced crossed products
Thomas Bray, Matthew Kennedy
We characterize the simplicity of reduced crossed product C*-algebras in terms of stabilizer subgroups. Specifically, we prove that if is a countable group and is a minimal…
math.OA2026
Injective envelopes of partial C*-dynamical systems
Matthew Kennedy, Larissa Kroell, Camila F. Sehnem
We extend Hamana's theory of injective envelopes, along with several key features of the theory, to the realm of partial C*-dynamical systems. In particular, we show that a partial…