Analytical signatures and proper actions (Q2236484)

The authors extend from free actions to proper actions the investigation of signatures of analytically controlled Hilbert-Poincaré complexes introduced by [\textit{N. Higson} and \textit{J. Roe}, \(K\)-Theory 33, No. 4, 277--299 (2004; Zbl 1083.19002); \(K\)-Theory 33, No. 4, 301--324 (2004; Zbl 1083.19003); \(K\)-Theory 33, No. 4, 325--346 (2004; Zbl 1085.19002)]. They discuss related concepts, including signatures of \(C^*\)-algebraic Hilbert-Poincaré complexes, and they extend known properties of signatures to the case of proper actions.