| 概要 | I will begin with an overview of theory of non-commutative Poisson boundary that was introduced by Izumi and then study the following topics:
(1) A conjecture about the classical parts of Poisson boundaries;
(2) Product type actions and Poisson boundaries.
I will prove the conjecture affirmatively for q-deformations of any compact Lie groups and give some observations on their product type actions. |