Abstract
It was recently shown that each C*-algebra generated by a faithful irreducible representation of a finitely generated, torsion free nilpotent group is classified by its ordered K-theory. For the three step nilpotent group UT(4,Z) we calculate the ordered K-theory of each C*-algebra generated by a faithful irreducible representation of UT(4,Z) and see that they are all simple AT algebras. We also point out that there are many simple non-AT algebras generated by irreducible representations of nilpotent groups.
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