@article{1450509,
      author = {Exel, Ruy, and Pitts, David Ryder,},
      url = {http://library.usi.edu/record/1450509},
      title = {Characterizing groupoid C* -algebras of non-Hausdorff  Étale groupoids /},
      abstract = {This book develops tools to handle C*-algebras arising as  completions of convolution algebras of sections of line  bundles over possibly non-Hausdorff groupoids. A  fundamental result of Gelfand describes commutative  C*-algebras as continuous functions on locally compact  Hausdorff spaces. Kumjian, and later Renault, showed that  Gelfand's result can be extended to include non-commutative  C*-algebras containing a commutative C*-algebra. In their  setting, the C*-algebras in question may be described as  the completion of convolution algebras of functions on  twisted Hausdorff groupoids with respect to a certain norm.  However, there are many natural settings in which the  KumjianRenault theory does not apply, in part because the  groupoids which arise are not Hausdorff. In fact,  non-Hausdorff groupoids have been a source of surprising  counterexamples and technical difficulties for decades.  Including numerous illustrative examples, this book extends  the KumjianRenault theory to a much broader class of  C*-algebras. This work will be of interest to researchers  and graduate students in the area of groupoid C*-algebras,  the interface between dynamical systems and C*-algebras,  and related fields.},
      doi = {https://doi.org/10.1007/978-3-031-05513-3},
      recid = {1450509},
      pages = {1 online resource (viii, 158 pages).},
}