Topological groupoid quantales

Open Access
Authors
Publication date 2010
Journal Studia Logica
Volume | Issue number 95 | 1-2
Pages (from-to) 125-137
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract We associate a canonical unital involutive quantale to a topological groupoid. When the groupoid is also étale, this association is compatible with but independent from the theory of localic étale groupoids and their quantales [9] of P. Resende. As a motivating example, we describe the connection between the quantale and the C*-algebra that both classify Penrose tilings, which was left as an open problem in [5].
Document type Article
Language English
Published at https://doi.org/10.1007/s11225-010-9251-9
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7_tgq_penrose_sl_final-submitted__KOR.pdf (Final published version)
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