- Tytuł:
- On a method of determining supports of Thomas characters of discrete groups
- Autorzy:
- Płonka, Ernest
- Powiązania:
- https://bibliotekanauki.pl/articles/1294671.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
positive definite functions
characters
traces - Opis:
- 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.
- Źródło:
-
Annales Polonici Mathematici; 1997, 67, 2; 199-202
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł