An algebra whose subalgebras are characterized by density
Abstract
We refine a construction of Choi, Farah and Ozawa to build a nonseparable amenable operator algebra A⊂eq∞(M2) whose nonseparable subalgebras, including A, are not isomorphic to a C*-algebra. This is done using a Luzin gap and a uniformly bounded group representation. Next, we study additional properties of A and of its separable subalgebras, related to the Kadison Kastler metric.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.