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arxiv: 1101.0286 · v2 · pith:2W5GISCTnew · submitted 2010-12-31 · 🧮 math.OA

The C*-algebra of a Single Invertible Element

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keywords algebraelementfreeinvertiblesingleunitalalgebrascharacterizes
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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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