Geodesic
On a method of determining supports of Thoma's characters of discrete groups
Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 199-202.

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We present a new approach to determining supports of extreme, normed by 1, positive definite class functions of discrete groups, i.e. characters in the sense of E. Thoma [8]. Any character of a group produces a unitary representation and thus a von Neumann algebra of linear operators with finite normal trace. We use a theorem of H. Umegaki [9] on the uniqueness of conditional expectation in finite von Neumann algebras. Some applications and examples are given.
DOI : 10.4064/ap-67-2-199-202
Keywords: positive definite functions, characters, traces

Ernest Płonka 1

1 
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Ernest Płonka. On a method of determining supports of Thoma's characters of discrete groups. Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 199-202. doi : 10.4064/ap-67-2-199-202. http://geodesic.mathdoc.fr/articles/10.4064/ap-67-2-199-202/

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