3 papers
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…
math.OA2025
Noncommutative Choquet theory
Kenneth R. Davidson, Matthew Kennedy
We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fund…