Isomorphism, nonisomorphism, and amenability of L^p UHF algebras

摘要: In a previous paper, we introduced L^p UHF algebras for p in [1, \infty). We concentrated on the spatial algebras, which are classified up to isometric isomorphism by and scaled ordered K_0-group. this concentrate larger class, of tensor product type constructed using diagonal similarities. Such an algebra is still simple has same K-theory as corresponding algebra. For each choice K-theory, provide uncountably many nonisomorphic such algebras. further characterize among them. particular, if A one these then isomorphic (not necessarily isometrically) only amenable Banach algebra, also approximately inner flip. These conditions equivalent natural numerical condition defined terms ingredients used construct