New holomorphically closed subalgebras of $C^*$-algebras of hyperbolic groups

Autor:	Puschnigg, Michael
Rok vydání:	2009
Předmět:	Mathematics - Operator Algebras 46L87
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0904.3675 Zobrazit plný text záznamu View this record from Arxiv