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arXiv · 1101.0286

The C*-algebra of a Single Invertible Element

Will Grilliette
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Abstract

This paper characterizes the unital C*-algebra generated by a single invertible element as the unital free product of C[0,1] and C(T). To do this, I develop techniques to split and merge presentations of C*-algebras using free products in tandem with the Tietze transformations devised in my previous paper.

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Will Grilliette. 2011-10-01. The C*-algebra of a Single Invertible Element. https://arxiv.org/abs/1101.0286

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