An Introduction to K-Theory for C*-Algebras
Part of London Mathematical Society Student Texts
- Authors:
- M. Rørdam, University of Copenhagen
- F. Larsen, Odense Universitet, Denmark
- N. Laustsen, University of Leeds
- Date Published: September 2000
- availability: Available
- format: Paperback
- isbn: 9780521789448
Paperback
Other available formats:
Hardback, eBook
Looking for an inspection copy?
Please email [email protected] to enquire about an inspection copy of this book
-
Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.
Read more- Based on courses given in Copenhagen and Leeds
- Authors are authorities on this subject
- Provides a more streamlined introduction to the subject than any of the competition
Reviews & endorsements
'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für Mathematik
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: September 2000
- format: Paperback
- isbn: 9780521789448
- length: 256 pages
- dimensions: 229 x 152 x 15 mm
- weight: 0.392kg
- contains: 124 exercises
- availability: Available
Table of Contents
Preface
1. C*-algebra theory
2. Projections and unitary elements
3. The K0-group of a unital C*-algebra
4. The functor K0
5. The ordered Abelian group K0(A)
6. Inductive limit C*-algebras
7. Classification of AF-algebras
8. The functor K1
9. The index map
10. The higher K-functors
11. Bott periodicity
12. The six-term exact sequence
13. Inductive limits of dimension drop algebras
References
Table of K-groups
Index of symbols
General index.-
Resources for
An Introduction to K-Theory for C*-Algebras
M. Rørdam, F. Larsen, N. Laustsen
General Resources
Find resources associated with this title
Type Name Unlocked * Format Size Showing of
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact [email protected].
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×