%0 Journal Article %T New holomorphically closed subalgebras of $C^*$-algebras of hyperbolic groups %A Michael Puschnigg %J Mathematics %D 2009 %I arXiv %X We construct dense, unconditional subalgebras of the reduced group $C^*$-algebra of a word-hyperbolic group, which are closed under holomorphic functional calculus and possess many bounded traces. Applications to the cyclic cohomology of group $C^*$-algebras and to delocalized $L^2$-invariants of negatively curved manifolds are given. %U http://arxiv.org/abs/0904.3675v1