The graded Grothendieck group and the classification of Leavitt path algebras |
| |
Authors: | R Hazrat |
| |
Institution: | 1. Department of Pure Mathematics, Queen’s University, Belfast, BT7 1NN, UK 2. School of Computing and Mathematics, University of Western Sydney, Penrith, NSW, 2751, Australia
|
| |
Abstract: | This paper is an attempt to show that, parallel to Elliott’s classification of AF C*-algebras by means of K-theory, the graded K 0-group classifies Leavitt path algebras completely. In this direction, we prove this claim at two extremes, namely, for the class of acyclic graphs (graphs with no cycles) and multi-headed comets or rose graphs (graphs in which each head is connected to a cycle or to a collection of loops), or a mixture of these graphs (i.e., polycephaly graphs). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|