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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6483
Title: | On K-theory of Leavitt path algebras |
Authors: | BASU, RABEYA C R, GOUTHAM DEV Dept. of Mathematics 20161064 |
Keywords: | Mathematics |
Issue Date: | Dec-2021 |
Citation: | 108 |
Abstract: | In 1960's, W. G. Leavitt introduced a type of non-commutative algebras that are now called Leavitt Algebras. In 2005, Gene Abrams and Gonzalo Aranda Pino introduced Leavitt path algebras as a generalization of Leavitt algebras. It was also done by Pere Ara, María Moreno, and Enrique Pardo simultaneously. In this thesis we explain K_0 and K_1 groups of Leavitt path algebras, based on the studies of Gene Abrams, Pere Ara and Mercedes Siles Molina. |
Description: | In this thesis we study K_0 and K_1 construction, and define a simpler calculation for K_0 and K_1 of Leavitt path algebras. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6483 |
Appears in Collections: | MS THESES |
Files in This Item:
File | Description | Size | Format | |
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Goutham_20161064.pdf | MS thesis | 21.23 MB | Adobe PDF | View/Open Request a copy |
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