An Introduction to K-Theory for C*-Algebras (London by M. Rørdam,F. Larsen,N. Laustsen PDF

By M. Rørdam,F. Larsen,N. Laustsen

ISBN-10: 0521783348

ISBN-13: 9780521783347

ISBN-10: 0521789443

ISBN-13: 9780521789448

over the past 25 years K-theory has turn into an built-in a part of the examine of C*-algebras. This e-book offers an simple creation to this fascinating and swiftly turning out to be quarter of arithmetic. primary to K-theory is the organization of a couple of Abelian teams, K0(A) and K1(A), to every C*-algebra A. those teams mirror the houses of A in lots of methods. This ebook covers the fundamental homes of the functors K0 and K1 and their interrelationship. purposes of the idea contain Elliott's category theorem for AF-algebras, and it's proven that every pair of countable Abelian teams arises because the K-groups of a few C*-algebra. the speculation is definitely illustrated with one hundred twenty workouts and examples, making the publication excellent for starting graduate scholars operating in sensible research, specifically operator algebras, and for researchers from different parts of arithmetic who are looking to know about this subject.

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An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts) by M. Rørdam,F. Larsen,N. Laustsen

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