Trace invariant and cyclic cohomology of twisted group \(C^*\)-algebras
The author proves, by the method of cyclic cohomology, that all tracial states on a twisted group \(C^*\)-algebra \(C^*(G; \sigma)\), where \(G\) is a torsion free discrete group of polynomial growth and \(\sigma\) is a 2-cocycle on \(G\) with values in the unit circle group, induce the same map from \(K_ 0(C^*(G; \sigma))\) into \(\mathbb{R}\).
tracial states on a twisted group \(C^*\)-algebra
scientific article; zbMATH DE number 772871