%0 Journal Article %T Twisted K-theory and obstructions against positive scalar curvature metrics %A Ulrich Pennig %J Mathematics %D 2011 %I arXiv %R 10.1017/is014003008jkt259 %X We decompose the twisted index obstruction $\theta(M)$ against positive scalar curvature metrics for oriented manifolds with spin universal cover into a pairing of a twisted $K$-homology with a twisted $K$-theory class and prove that $\theta(M)$ does not vanish if $M$ is an orientable enlargeable manifold with spin universal cover. %U http://arxiv.org/abs/1108.3701v3