International Journal of Functional Analysis, Operator Theory and Applications
Volume 5, Issue 3, Pages 153 - 163
(October 2013)
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AN ALTERNATIVE APPROACH TO MUNDICI NON SIMPLICITY CRITERION
A. R. da Silva
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Abstract:
In this short paper, we present an alternative approach to a classical non simplicity criterion for AF  -algebras proved by Mundici in [6]. The results of [6] are based on model theoretical tools. Our aim here is to make use of a group theoretical approach to Petri nets as presented in [2]. This algebraic viewpoint, besides providing a simpler access to Mundici criterion, allows to treat different types of Petri nets in a unified way. |
| Keywords and phrases: Petri nets, AF  -algebras. |
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