On the classification problem for nuclear C*-algebras

Details On the classification problem for nuclear C*-algebras On the classification problem for nuclear C*-algebras

2005-09-05

arxiv.org/abs/math/0509103v3

Mathematics

Operator Algebras

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

Scientific paper

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.

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