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Finitely generated nilpotent group C*-algebras have finite nuclear dimension by Eckhardt, Caleb; McKenney, Paul is a scholarly article available to read on EtoBox.

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We show that group C*-algebras of finitely generated, nilpotent groups have finite nuclear dimension. It then follows, from a string of deep results, that the C*-algebra $A$ generated by an irreducible representation of such a group has decomposition rank at most 3. If, in addition, $A$ satisfies the universal coefficient theorem, another string of deep results shows it is classifiable by its Elliott invariant and is approximately subhomogeneous. We give a large class of irreducible representations of nilpotent groups (of arbitrarily large nilpotency class) that satisfy the universal coefficient theorem and therefore are classifiable and approximately subhomogeneous.

Author

Eckhardt, Caleb; McKenney, Paul

Published

2014

Language

EN