Locally Compact Quantum Groups and Groupoids: Proceedings of the Meeting of Theoretical Physicists and Mathematicians, Strasbourg, February 21-23, 2002 / Rencontre entre physiciens théoriciens et mathématiciens, Strasbourg, 21-23 février 2002

The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics. Preface of the Series Editor......Page 5 Table of Contents......Page 7 Introduction of the editor......Page 9 Quantum groupoids and pseudo-multiplicativeunitaries......Page 25 Quantum
SU(1, 1) and its Pontryagin dual......Page 57 Morita base change in quantum groupoids......Page 86 Galois actions by finite quantum groupoids......Page 113 On low-dimensional locally compactquantum groups......Page 135 Multiplicative partial isometries and finitequantum groupoids......Page 196 Multiplier Hopf ∗-algebras with positive integrals:A laboratory for locally compact quantum groups......Page 237 Vainerman (mathematics and mechanics, U. de Caen, France) presents seven papers from the February 2002 meeting which brought together physicists and mathematicians to discuss such topics of quantum groups as multiplicative partial isometries and finite quantum groupoids; multiplier Hopf*-algebras with positive integrals; Galois actions by finite quantum groupoids, and quantum groupoids and pseudo-multiplicative unitaries" "Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics."--Jacket "Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics."--Cover This volume contains seven papers written by participants of the 69th meeting of theoretical physicists and mathematicians held in Strasbourg (February 21-23, 2002).