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- Title
Free group C*-algebras associated with ℓp.
- Authors
Okayasu, Rui
- Abstract
For every p ≥ 2, we give a characterization of positive definite functions on a free group with finitely many generators, which can be extended to positive linear functionals on the free group C*-algebra associated with the ideal ℓp. This is a generalization of Haagerup's characterization for the case of the reduced free group C*-algebra. As a consequence, the canonical quotient map between the associated C*-algebras is not injective, and they have a unique tracial state.
- Subjects
FREE groups; FREE algebras; GENERATORS of groups; POSITIVE systems; MATHEMATICAL mappings; FINITE groups
- Publication
International Journal of Mathematics, 2014, Vol 25, Issue 7, p1
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X14500657