Journal of Noncommutative Geometry

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Volume 8, Issue 1, 2014, pp. 163–178
DOI: 10.4171/JNCG/152

Published online: 2014-03-20

Group quasi-representations and almost flat bundles

Marius Dadarlat[1]

(1) Purdue University, West Lafayette, USA

We study the existence of quasi-representations of discrete groups $G$ into unitary groups $U(n)$ that induce prescribed partial maps $K_0(C^*(G))\to \mathbb{Z}$ on the K-theory of the group C*-algebra of $G$. We give conditions for a discrete group $G$ under which the K-theory group of the classifying space $BG$ consists entirely of almost flat classes.

Keywords: K-theory, discrete groups, deformations, almost flat bundles

Dadarlat Marius: Group quasi-representations and almost flat bundles. J. Noncommut. Geom. 8 (2014), 163-178. doi: 10.4171/JNCG/152