Relatively hyperbolic groups are C∗ -simple☆

Arzhantseva, Goulnara N.; Minasyan, Ashot

doi:10.1016/j.jfa.2006.06.003

Scientific article

English

Relatively hyperbolic groups are C∗ -simple☆

ContributorsArzhantseva, Goulnara N.; Minasyan, Ashot

Published inJournal of functional analysis, vol. 243, no. 1, p. 345-351

Publication date2007

Abstract

We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which have no non-trivial finite normal subgroups.

Keywords

Relatively hyperbolic groups
Reduced group C∗ -algebras

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ARZHANTSEVA, Goulnara N., MINASYAN, Ashot. Relatively hyperbolic groups are C∗ -simple☆. In: Journal of functional analysis, 2007, vol. 243, n° 1, p. 345–351. doi: 10.1016/j.jfa.2006.06.003

Article (Published version)

Identifiers

PID : unige:9799
DOI : 10.1016/j.jfa.2006.06.003

Additional URL for this publicationhttp://linkinghub.elsevier.com/retrieve/pii/S0022123606002643

Journal ISSN0022-1236

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Relatively hyperbolic groups are C∗ -simple☆

We characterize relatively hyperbolic groups whose reduced C ∗-algebra is simple as those, which have no non-trivial finite normal subgroups.

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