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On a method of determining supports of Thoma's characters of discrete groups

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Płonka E.

Annales Polonici Mathematici

1997

tom 67

nr 2

199-202

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.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Płonka E.

1 1997

Wyniki wyszukiwania

On a method of determining supports of Thoma's characters of discrete groups