Locally Compact Quantum Groups. A von Neumann Algebra Approach

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2014
• ISSN: 1815-0659
• Автор: Alfons Van Daele
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146621
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Locally Compact Quantum Groups. A von Neumann Algebra Approach / Alfons Van Daele // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 39 назв. — англ.

In this paper, we give an alternative approach to the theory of locally compact quantum groups, as developed by Kustermans and Vaes. We start with a von Neumann algebra and a comultiplication on this von Neumann algebra. We assume that there exist faithful left and right Haar weights. Then we develo...