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Étale groupoids and their $C^*$-algebras

Journal Article


Abstract


  • These notes were written as supplementary material for a five-hour lecture

    series presented at the Centre de Recerca Mathem\`atica at the Universitat

    Aut\`onoma de Barcelona from the 13th to the 17th of March 2017. The intention

    of these notes is to give a brief overview of some key topics in the area of

    $C^*$-algebras associated to \'etale groupoids. The scope has been deliberately

    contained to the case of \'etale groupoids with the intention that much of the

    representation-theoretic technology and measure-theoretic analysis required to

    handle general groupoids can be suppressed in this simpler setting.

    A published version of these notes will appear in the volume tentatively

    titled "Operator algebras and dynamics: groupoids, crossed products and Rokhlin

    dimension" by Gabor Szabo, Dana P. Williams and myself, and edited by Francesc

    Perera, in the series "Advanced Courses in Mathematics. CRM Barcelona." The

    pagination of this arXiv version is not identical to Birkh\"auser's style, but

    I have tried to make it close. The theorem numbering should be correct. I'm

    grateful to the CRM and Birkh\"auser for allowing me to post a version on

    arXiv.

Publication Date


  • 2017

Citation


  • Sims, A. (2017). Étale groupoids and their $C^*$-algebras. Retrieved from http://arxiv.org/abs/1710.10897v2

Web Of Science Accession Number


Abstract


  • These notes were written as supplementary material for a five-hour lecture

    series presented at the Centre de Recerca Mathem\`atica at the Universitat

    Aut\`onoma de Barcelona from the 13th to the 17th of March 2017. The intention

    of these notes is to give a brief overview of some key topics in the area of

    $C^*$-algebras associated to \'etale groupoids. The scope has been deliberately

    contained to the case of \'etale groupoids with the intention that much of the

    representation-theoretic technology and measure-theoretic analysis required to

    handle general groupoids can be suppressed in this simpler setting.

    A published version of these notes will appear in the volume tentatively

    titled "Operator algebras and dynamics: groupoids, crossed products and Rokhlin

    dimension" by Gabor Szabo, Dana P. Williams and myself, and edited by Francesc

    Perera, in the series "Advanced Courses in Mathematics. CRM Barcelona." The

    pagination of this arXiv version is not identical to Birkh\"auser's style, but

    I have tried to make it close. The theorem numbering should be correct. I'm

    grateful to the CRM and Birkh\"auser for allowing me to post a version on

    arXiv.

Publication Date


  • 2017

Citation


  • Sims, A. (2017). Étale groupoids and their $C^*$-algebras. Retrieved from http://arxiv.org/abs/1710.10897v2

Web Of Science Accession Number