Characterisations of crossed products by partial actions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Partial actions of discrete groups on $C^*$-algebras and the associated crossed products have been studied by Exel and McClanahan. We characterise these crossed products in terms of the spectral subspaces of the dual coaction, generalising and simplifying a theorem of Exel for single partial automorphisms. We then use this characterisation to identify the Cuntz algebras and the Toeplitz algebras of Nica as crossed products by partial actions.
28 pages, AMS-LaTeX

Keywords

Functional Analysis, Operator Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/152383

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9604001
 http://arxiv.org/abs/funct-an/9604001

Collections

arXiv