Group quasi-representations and almost flat bundles

  • Marius Dadarlat

    Purdue University, West Lafayette, USA


We study the existence of quasi-representations of discrete groups GG into unitary groups U(n)U(n) that induce prescribed partial maps K0(C(G))ZK_0(C^*(G))\to \mathbb{Z} on the K-theory of the group C*-algebra of GG. We give conditions for a discrete group GG under which the K-theory group of the classifying space BGBG consists entirely of almost flat classes.

Cite this article

Marius Dadarlat, Group quasi-representations and almost flat bundles. J. Noncommut. Geom. 8 (2014), no. 1, pp. 163–178

DOI 10.4171/JNCG/152