An algebraic characterisation of ample type I groupoids

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چکیده

Abstract We give algebraic characterisations of the type I and CCR properties for locally compact second countable, ample Hausdorff groupoids in terms subquotients its Boolean inverse semigroup open local bisections. It yields turn both semigroups with meets their Booleanisation.

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I was invited by Olivier Danvy and Carolyn Talcott to contribute to this special issue of Higher Order and Symbolic Computation in honour of Peter Landin. They were keen to include some technical contributions, and I recalled my very first piece of theoretical work, which had only appeared as a 1981 Queen Mary College technical report, and which seemed as if it might be appropriate for several ...

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ژورنال

عنوان ژورنال: Semigroup Forum

سال: 2021

ISSN: ['0037-1912', '1432-2137']

DOI: https://doi.org/10.1007/s00233-021-10241-7