Quantum Isometry Groups

• Main Authors: Goswami, Debashish (Author), Bhowmick, Jyotishman (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2016.
• Series: Infosys Science Foundation Series,
• Subjects: Mathematics.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Mathematical physics.; Quantum physics.; Global Analysis and Analysis on Manifolds.; Mathematical Physics.; Differential Geometry.; Functional Analysis.; Quantum Physics.

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommuta...

Table of Contents:

• Chapter 1. Introduction
• Chapter 2. Preliminaries
• Chapter 3. Classical and Noncommutative Geometry
• Chapter 4. Definition and Existence of Quantum Isometry Groups
• Chapter 5. Quantum Isometry Groups of Classical and Quantum
• Chapter 6. Quantum Isometry Groups of Discrete Quantum Spaces
• Chapter 7. Nonexistence of Genuine Smooth CQG Actions on Classical Connected Manifolds
• Chapter 8. Deformation of Spectral Triples and Their Quantum Isometry Groups
• Chapter 9. More Examples and Computations
• Chapter 10. Spectral Triples and Quantum Isometry Groups on Group C*-Algebras.