Titlebook: Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids; Ruy Exel,David R. Pitts Book 2022 Springer Nature Switzerland AG 202

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https://doi.org/10.1007/978-3-8348-9205-8So far our standing assumptions have always involved a fixed inclusion of C*-algebras. From this point on we will instead concentrate our attention on groupoids which will in due time lead to a fundamental example of inclusions of C*-algebras.

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Digitale Signatur und elektronische Form,Our goal in this section is to prove (5.9) below, which is a basic result in the theory of twisted groupoid C*-algebras. We have been unable to locate this result in the literature in the generality we require.

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Inclusions,One of the most basic aspects of our techniques, to be developed in this and the following section, is the study of the algebraic relationship between ideals in a C*-algebra ., on the one hand, and a larger C*-algebra . containing ., on the other.

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Groupoids,So far our standing assumptions have always involved a fixed inclusion of C*-algebras. From this point on we will instead concentrate our attention on groupoids which will in due time lead to a fundamental example of inclusions of C*-algebras.

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Appendix: Isotropy Projection,Our goal in this section is to prove (5.9) below, which is a basic result in the theory of twisted groupoid C*-algebras. We have been unable to locate this result in the literature in the generality we require.

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0075-8434 h 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 fiel978-3-031-05512-6978-3-031-05513-3Series ISSN 0075-8434 Series E-ISSN 1617-9692