Please use this identifier to cite or link to this item: 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
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