New York Journal of Mathematics
Volume 18 (2012) 121-137


Will Grilliette

Presentations and Tietze transformations of C*-algebras

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Published: March 13, 2012
Keywords: C*-algebra, unitization, adjoint functor, presentations, Tietze transformation
Subject: 46L05, 46L85, 20E06, 20F05

In this work, I develop a new view of presentation theory for C*-algebras, both unital and nonunital, 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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Division of Mathematics, Alfred University, 109B Myers Hall, Alfred, NY 14802