C*-Algebras and Finite-Dimensional Approximations (Graduate Studies in Mathematics)
C*-Algebras and Finite-Dimensional Approximations (Graduate Studies in Mathematics)
Author: -
Title: C*-Algebras and Finite-Dimensional Approximations (Graduate Studies in Mathematics)
ISBN10: 0821843818
ISBN13: 978-0821843819
Format: .PDF .EPUB .FB2
Pages: 509 pages
Publisher: American Mathematical Society (March 12, 2008)
Language: English
Size pdf: 1718 kb
Size epub: 1715 kb
Rating: 4.8 ✪
Votes: 465
Category: Science & Math
Subcategory: Mathematics
$textrm{C}^*$-approximation theory has provided the foundation for many of the most important conceptual breakthroughs and applications of operator algebras. This book systematically studies (most of) the numerous types of approximation properties that have been important in recent years: nuclearity, exactness, quasidiagonality, local reflexivity, and others. Moreover, it contains user-friendly proofs, insofar as that is possible, of many fundamental results that were previously quite hard to extract from the literature. Indeed, perhaps the most important novelty of the first ten chapters is an earnest attempt to explain some fundamental, but difficult and technical, results as painlessly as possible. The latter half of the book presents related topics and applications--written with researchers and advanced, well-trained students in mind. The authors have tried to meet the needs both of students wishing to learn the basics of an important area of research as well as researchers who desire a fairly comprehensive reference for the theory and applications of $textrm{C}^*$-approximation theory.