145 citations · 184 across the 6 of their papers we have counts for
6 papers
Quantales as geometric objects: symmetry beyond groupoids?
Pedro Resende
This is a short survey paper, partly meant as a research announcement. Its purpose is to highlight some aspects of the interplay between quantales, inverse semigroups, and groupoid…
Etale groupoids and their quantales
Pedro Resende
We establish a close and previously unknown relation between quantales and groupoids, in terms of which the notion of etale groupoid is subsumed in a natural way by that of quantal…
On quantales that classify C*-algebras
David Kruml, Pedro Resende
The functor Max of Mulvey assigns to each unital C*-algebra A the unital involutive quantale Max A of closed linear subspaces of A, and it has been remarked that it classifies unit…
A noncommutative theory of Penrose tilings
Christopher J. Mulvey, Pedro Resende
Considering quantales as generalised noncommutative spaces, we address as an example a quantale Pen based on the Penrose tilings of the plane. We study in general the representatio…
On quantales and spectra of C*-algebras
David Kruml, Joan Wick Pelletier, Pedro Resende +1
We study properties of the quantale spectrum Max A of an arbitrary unital C*-algebra A. In particular we show that the spatialization of Max A with respect to one of the notions of…
Sup-lattice 2-forms and quantales
Pedro Resende
A 2-form between two sup-lattices L and R is defined to be a sup-lattice bimorphism L x R -> 2. Such 2-forms are equivalent to Galois connections, and we study them and their relat…