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

over the past 25 years K-theory has develop into an built-in a part of the research of C*-algebras. This booklet provides an undemanding advent to this attention-grabbing and swiftly becoming 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 replicate the houses of A in lots of methods. This publication covers the fundamental houses of the functors K0 and K1 and their interrelationship. functions of the speculation comprise Elliott's class theorem for AF-algebras, and it truly is proven that every pair of countable Abelian teams arises because the K-groups of a few C*-algebra. the idea is easily illustrated with a hundred and twenty routines and examples, making the booklet perfect for starting graduate scholars operating in useful research, particularly operator algebras, and for researchers from different parts of arithmetic who are looking to find out about this subject.

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