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Some topics in Leavitt path algebras and their generalizations/ Mohan Raj

By: Material type: TextTextPublication details: Bangalore: Indian Statistical Institute, 2020Description: vii, 139 pagesSubject(s): DDC classification:
  • 23 511.54 R149
Online resources:
Contents:
Preliminaries -- Leavitt path algebras of weighted Cayley graphs Cn(S, w) -- Cohn-Leavitt path algebras of bi-separated graphs -- Cohn-Leavitt path algebras of semi-regular hypergraphs
Production credits:
  • Guided by Prof. Ramesh Sreekantan
Dissertation note: Thesis (Ph.D.) - Indian Statistical Institute, 2020 Summary: The purpose of this section is to motivate the historical development of Leavitt algebras,Leavitt path algebras and their various generalizations and thus provide a context for this thesis. There are two historical threads which resulted in the definition of Leavitt path algebras. The first one is about the realization problem for von Neumann regular rings and the second one is about studying algebraic analogs of graph C∗-algebras. In what follows we briefly survey these threads and also introduce important concepts and terminology which will recur throughout.
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Thesis (Ph.D.) - Indian Statistical Institute, 2020

Includes bibliographical references

Preliminaries -- Leavitt path algebras of weighted Cayley graphs Cn(S, w) -- Cohn-Leavitt path algebras of bi-separated graphs -- Cohn-Leavitt path algebras of semi-regular hypergraphs

Guided by Prof. Ramesh Sreekantan

The purpose of this section is to motivate the historical development of Leavitt algebras,Leavitt path algebras and their various generalizations and thus provide a context for this thesis. There are two historical threads which resulted in the definition of Leavitt path algebras. The first one is about the realization problem for von Neumann regular rings and the second one is about studying algebraic analogs of graph C∗-algebras. In what follows we briefly survey these threads and also introduce important concepts and terminology which will recur throughout.

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