Ebook Info
- Published: 2007
- Number of pages: 274 pages
- Format: PDF
- File Size: 1.95 MB
- Authors: Joachim Cuntz
Description
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
User’s Reviews
Editorial Reviews: From the Back Cover Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory.We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐If you know this subject, you would never miss this book. If you do not understand what the book title says, I can not explain anything more.
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Keywords
Free Download Topological and Bivariant K-Theory (Oberwolfach Seminars, 36) 2007th Edition in PDF format
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