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arXiv · 1506.01272

Classification of C*-algebras generated by representations of the unitriangular group $UT(4,\mathbb{Z})$

Caleb Eckhardt·Craig Kleski·Paul McKenney
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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 $UT(4,\mathbb{Z})$ 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.

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BibTeXRIS

Caleb Eckhardt, Craig Kleski, Paul McKenney. 2015-06-03. Classification of C*-algebras generated by representations of the unitriangular group $UT(4,\mathbb{Z})$. https://arxiv.org/abs/1506.01272

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