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The Algebraic Kirchberg--Phillips Conjecture for Leavitt Path Algebras

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Hossain_Ehsaan.pdf (673.06 KB)

Date

2015-09-18

Authors

Hossain, Ehsaan

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Publisher

University of Waterloo

Abstract

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.

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Keywords

algebra, graph

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http://hdl.handle.net/10012/9676

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Pure Mathematics