%0 Journal Article
%T Classification of C*-algebras generated by representations of the unitriangular group $UT(4,\mathbb{Z})$
%A Caleb Eckhardt
%A Craig Kleski
%A Paul McKenney
%J Mathematics
%D 2015
%I arXiv
%X 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 $UT(4,\mathbb{Z})$ we calculate the ordered K-theory of each C*-algebra generated by a faithful irreducible representation of $UT(4,\mathbb{Z})$ and see that they are all simple A$\mathbb{T}$ algebras. We also point out that there are many simple non A$\mathbb{T}$ algebras generated by irreducible representations of nilpotent groups.
%U http://arxiv.org/abs/1506.01272v1