Abstract
© Springer-Verlag London Ltd. 2017. In this chapter we investigate many of the K-theoretic properties of LK(E). We start by considering the Grothendieck group K0(LK(E)), and then subsequently the Whitehead group K1(LK(E)). Next, we discuss one of the central currently-unresolved questions in the subject (the so-called Algebraic Kirchberg Phillips Question) which asks whether certain K0 data is sufficient to classify the purely infinite simple unital Leavitt path algebras up to isomorphism. We conclude with a discussion of tensor products of Leavitt path algebras, and Hochschild homology.
Original language | English |
---|---|
Title of host publication | Lecture Notes in Mathematics |
Pages | 219-257 |
Number of pages | 38 |
Volume | 2191 |
DOIs | |
Publication status | Published - 1 Jan 2017 |