Amenability of Discrete Groups by Examples
Author | : Kate Juschenko |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
ISBN-10 | : 1470471094 |
ISBN-13 | : 9781470471095 |
Rating | : 4/5 (94 Downloads) |
Book excerpt: The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups.In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the.