Benoit Collins 氏 (オタワ大学・東京大学大学院数理科学研究科)

Benoit Collins 氏 (オタワ大学・東京大学大学院数理科学研究科)
『 On the spectral measure of the sum of elements in a finite von Neumann algebra 』

内容：
Given two self-adjoint n×n matrices A and B with prescribed eigenvalues, the set of all possible spectral distributions for A+B has been conjectured by Horn and proved by Knutson, Tao, Klyachko and Totaro.
We address the same question when A and B have prescribed spectral measures but lie in an arbitrary II_1 factor, and we give elements of answers in terms of inequalities between the spectral measures. We explain the relation with the Connes embedding problem.