Preliminaries
Document Type
Book Chapter
Publication Title
Infosys Science Foundation Series in Mathematical Sciences
Abstract
In this chapter, we discuss the basic concepts and results needed in the later chapters of the book. Beginning with a glimpse of operator algebras and Hilbert modules, free product and tensor products of C* algebras and some examples, we proceed to the generalities on quantum groups including the basics of Hopf algebras and compact quantum groups as well as some concrete examples such as Uμ(2), SUμ(2), Uμ(su(2)) and SOμ(3) We also introduce the notion of a C* coaction of a compact quantum group on a C* algebra and give an account of Shuzhou Wang’s work in [35] and [42]. We discuss the example of the action of SOμ(3) on Podles’ spheres in details.
First Page
1
Last Page
35
DOI
10.1007/978-81-322-3667-2_1
Publication Date
1-1-2016
Recommended Citation
Goswami, Debashish and Bhowmick, Jyotishman, "Preliminaries" (2016). Book Chapters. 248.
https://digitalcommons.isical.ac.in/book-chapters/248
