$\textrm{C}^*$-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.
FREE Two-Day Shipping for Students. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Editorial Reviews
Review
"This exciting book takes its readers through a wide palette of topics of current interest within operator algebras and operator space theory. ... These authors have succeeded very well in writing a book that is at the same time a textbook for (graduate) students and a research monograph for experts. ...the entire book makes for enjoyable reading for both types of readers thanks to its clear, informal and witty style. Each section ends with a list of appetizing exercises. ...no other book so far has taken this particular charming path through the landscapes of operator algebras." ---- Mathematical Reviews
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
We stated in the preface that these notes should be accessible to anyone with a ''first course" in operator algebras under their belt. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quasidiagonal set, factorable maps, slice map property, generalized inductive system, faithful essential representation, stable uniqueness result, amenable trace, quasidiagonal representation, complete order embedding, multiplicative domain, weak exactness, quasidiagonal extension, maximal tensor products, quasicentral approximate unit, nonzero invariant vector, unital inclusion, tracial state, separable predual, weakly injective, left translation action, real rank zero, tensor product norm, nonzero compact operators, ultraweak topology, compact groupoid Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Exercise, Arveson's Extension Theorem, The Trick, Voiculescu's Theorem, Exercise Exercise, Hilbert A-module, Hahn-Banach Theorem, Applying Lemma, Hilbert D-module, Lusin's Theorem, Takesaki's Theorem, Glimm's Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
We stated in the preface that these notes should be accessible to anyone with a ''first course" in operator algebras under their belt. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quasidiagonal set, factorable maps, slice map property, generalized inductive system, faithful essential representation, stable uniqueness result, amenable trace, quasidiagonal representation, complete order embedding, multiplicative domain, weak exactness, quasidiagonal extension, maximal tensor products, quasicentral approximate unit, nonzero invariant vector, unital inclusion, tracial state, separable predual, weakly injective, left translation action, real rank zero, tensor product norm, nonzero compact operators, ultraweak topology, compact groupoid Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Exercise, Arveson's Extension Theorem, The Trick, Voiculescu's Theorem, Exercise Exercise, Hilbert A-module, Hahn-Banach Theorem, Applying Lemma, Hilbert D-module, Lusin's Theorem, Takesaki's Theorem, Glimm's Lemma Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Tag this product(What's this?)Think of a tag as a keyword or label you consider is strongly related to this product.
Tags will help all customers organize and find favorite items. |
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
