摘要

We refine a construction of Choi, Farah, and Ozawa to build a nonseparable amenable operator algebra A subset of l(infinity)(M-2) 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.

  • 出版日期2015-9