... exists a simple, separable, unital, and nuclearC∗-algebra A such that for any UHF algebra U and any F ∈Fone hasF (A) ∼=F (A ⊗U),yet A and A ⊗U are not isomorphic. A is moreover an approximately ... homo-geneous (AH) algebra, and A ⊗U is an approximately interval (AI) algebra.Theorem 1.2. There exist a simple, separable, unital, and nuclearC∗-algebra B and an automorphism α of B of period ... understand D any better than C, then one hasachieved little; the range of a classifying invariant is an essential part of anyclassification result.Theorems 1.1 and 1.2 show that any classifying...