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

By M. Rørdam,F. Larsen,N. Laustsen

during the last 25 years K-theory has turn into an built-in a part of the research of C*-algebras. This e-book supplies an easy advent to this attention-grabbing and swiftly starting to be zone of arithmetic. basic 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 booklet covers the elemental houses of the functors K0 and K1 and their interrelationship. purposes of the speculation comprise Elliott's type 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 easily illustrated with one hundred twenty routines and examples, making the booklet perfect for starting graduate scholars operating in useful research, particularly operator algebras, and for researchers from different components of arithmetic who are looking to find out about this subject.

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