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A Note on the Quantum Family of Maps. (arXiv:1809.11107v1 [math.QA])
来源于:arXiv
The notion and theory of the quantum space of all maps from a quantum space
pioneered by So{\l}tan 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\left( X\right) $ 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. 查看全文>>