Exotic group C*-algebras

Abstract

Let $\Gamma$ be a discrete group. When $\Gamma$ is nonamenable, the reduced and full group $C$*-algebras differ and it is generally believed that there should be many intermediate $C$*-algebras, however few examples are known. In this paper we give new constructions and compare existing constructions of intermediate group $C$*-algebras for both generic and specific groups $\Gamma$.

10 pages

References in corpus (1)

• Free group $C^{\ast }$-algebras associated with ${\ell }_p$

Cited by in corpus (1)

• C*-norms for tensor products of discrete group C*-algebras