Equivariant K-homology and K-theory for some discrete planar affine groups

Ramon Flores, Sanaz Pooya, Alain Valette

We consider the semi-direct products $G={\mathbb{Z}}^2⋊G{L}_2(\mathbb{Z}),{\mathbb{Z}}^2⋊S{L}_2(\mathbb{Z})$ and ${\mathbb{Z}}^2⋊\Gamma (2)$ (where $\Gamma (2)$ is the congruence subgrou…