The C*-algebra of a Single Invertible Element
Operator Algebras
2011-10-04 v2
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.
Keywords
Cite
@article{arxiv.1101.0286,
title = {The C*-algebra of a Single Invertible Element},
author = {Will Grilliette},
journal= {arXiv preprint arXiv:1101.0286},
year = {2011}
}
Comments
16 pages This paper has been withdrawn as it was merged into paper arXiv:1012.1275v2