Eckhardt, Caleb; Gillaspy, Elizabeth Irreducible representations of nilpotent groups generate classifiable \(C^*\)-algebras. (English) Zbl 1365.46052 Münster J. Math. 9, No. 1, 253-261 (2016). Summary: We show that \(C^*\)-algebras generated by irreducible representations of finitely generated nilpotent groups satisfy the universal coefficient theorem of Rosenberg and Schochet. This result combines with previous work to show that these algebras are classifiable by their Elliott invariants within the class of unital, simple, separable, nuclear \(C^*\)-algebras with finite nuclear dimension that satisfy the universal coefficient theorem. We also show that these \(C^*\)-algebras are central cutdowns of twisted group \(C^*\)-algebras with homotopically trivial cocycles. Cited in 6 Documents MSC: 46L35 Classifications of \(C^*\)-algebras 22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations Keywords:universal coefficient theorem; Elliott invariants; nuclear dimension PDFBibTeX XMLCite \textit{C. Eckhardt} and \textit{E. Gillaspy}, Münster J. Math. 9, No. 1, 253--261 (2016; Zbl 1365.46052) Full Text: DOI arXiv