4 papers · 1 filter
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…
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…
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…
The ideal intersection property for essential groupoid C*-algebras
Matthew Kennedy, Se-Jin Kim, Xin Li +2
We characterise, in several complementary ways, étale groupoids with locally compact Hausdorff space of units whose essential groupoid C*-algebra has the ideal intersection proper…