2018/09/28 by Sheu, Albert Jeu-Liang, Timmermann, Thomas
#46L85 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1809.11107
The notion and theory of the quantum space of all maps from a quantum space pioneered by Sołtan have been mainly focused on finite-dimensional C*-algebras which are matrix algebra bundles over a finite set S. We propose a modification of this notion to cover the case of C( X) for general compact Hausdorff spaces X instead of finite sets S while taking into account of the topology of X. A notion of free product of copies of a unital C*-algebra topologically indexed by a compact Hausdorff space arises naturally, and satisfies some desired functoriality.