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arxiv: 1012.1275 · v3 · pith:MN3TGV5Qnew · submitted 2010-12-06 · 🧮 math.OA

Presentations and Tietze transformations of C*-algebras

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keywords tietzealgebraspresentationstheorytransformationsalgebraanalogousclassical
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In this work, I develop a new view of presentation theory for C*-algebras, both unital and non-unital, heavily grounded in classical notions from algebra. In particular, I introduce Tietze transformations for these presentations, which lead to a transformation theorem analogous to Tietze's 1908 result in group theory.

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