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.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
