The Algebraic Kirchberg--Phillips Conjecture for Leavitt Path Algebras

algebra;graph;Pure Mathematics

Hossain, Ehsaan

University of Waterloo

关键词: algebra;    graph;    Pure Mathematics;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/9676/1/Hossain_Ehsaan.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

This essay is meant to be an exposition of the theory of Leavitt path algebras and graph C*-algebras, with an aim to discuss some current classification questions. These two classes of algebras sit on opposite sides of a mirror, each reflecting aspects of the other. The majority of these notes is taken to describe the basic properties of Leavitt path algebras and graph C*-algebras, the main theme being the translation of graph-theoretic properties into exclusively (C*-)algebraic properties.