|
|
| |
| Distance Between Unitary Orbits of Self-AdjointElements in C*-Algebras of Tracial Rank One |
| |
Citation： |
Ruofei WANG.Distance Between Unitary Orbits of Self-AdjointElements in C*-Algebras of Tracial Rank One[J].Chinese Annals of Mathematics B,2023,44(3):407~444 |
| Page view： 788
Net amount： 634 |
Authors： |
Ruofei WANG; |
|
|
| Abstract： |
The note studies certain distance between unitary orbits. A result about Riesz interpolation property is proved in the first place. Weyl (1912) shows that dist(U(x), U(y)) = δ(x, y) for self-adjoint elements in matrixes. The author generalizes the result to C*-algebras of tracial rank one. It is proved that dist(U(x), U(y)) = Dc(x, y) in unital AT -algebras and in unital simple C*-algebras of tracial rank one, where x, y are self-adjoint elements and Dc (x, y) is a notion generalized from δ(x, y). |
Keywords： |
Unitary orbits, Riesz interpolation property, Tracial rank one, Dc(x, y) |
Classification： |
46L05 |
|
|
Download PDF Full-Text
|
|
|
|
