IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
An ultrapower construction of the multiplier algebra of a C*-algebra with an application to boundary amenability of groups
Autor/es:
FACUNDO POGGI; ROMAN SASYK
Revista:
Advances in Operator Theory
Editorial:
Birkhauser
Referencias:
Lugar: Basilea; Año: 2019 vol. 4 p. 852 - 864
ISSN:
2538-225X
Resumen:
Using ultrapowers of C-algebras, we provide a new construction of the multiplier algebra of a C-algebra. This extends the work of Avsec and Goldbring [Houston J. Math., to appear, arXiv:1610.09276] to the setting ofnoncommutative and nonseparable C-algebras. We also extend their work to give a new proof of the fact that groups acting transitively on locally finite trees with boundary amenable stabilizers are boundary amenable.
