On the classification problem for nuclear C*-algebras

Abstract

We construct a simple, unital AH algebra which is shape equivalent to its tensor product with any infinite-dimensional UHF algebra, has the same tracial simplex as the said tensor product, and yet is not isomorphic to it. An analogous result for automorphisms is also proved.

15 pages; minor revisions; version to appear in Ann. of Math. (2)

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