Locally Compact Quantum Groups and Groupoids

This book explores seven research papers on locally compact quantum groups and groupoids, highlighting advancements and interdisciplinary connections in mathematics and physics.

The book Locally Compact Quantum Groups and Groupoids presents a collection of seven refereed research papers that delve into the intricate world of locally compact quantum groups and groupoids. Authored by leading experts, these papers stem from discussions held during a meeting between mathematicians and theoretical physicists in Strasbourg in February 2002. The topics explored include various constructions of locally compact quantum groups and their multiplicative unitaries, as well as duality theory and combinatorial quantization related to flat connections associated with SL(2,c).

In addition to the mathematical rigor, the contributions shed light on quantum groupoids, particularly those arising from Depth 2 Extensions of von Neumann algebras, C*-algebras, and rings. These results are not only significant in their own right but also motivated by challenges in theoretical physics, highlighting the interdisciplinary nature of the research. Each paper is enriched with historical context, allowing readers to appreciate the evolution of ideas within this dynamic field.

Locally Compact Quantum Groups and Groupoids serves as a comprehensive overview for research mathematicians and theoretical physicists alike. It is also accessible to graduate students, making it a valuable resource for anyone interested in the recent advancements in this area of study. The volume emphasizes the connections between quantum groups and various branches of mathematics and physics, showcasing the progress made in the last few years.