Dynamical maps and Symmetroids Articles uri icon

publication date

  • December 2021

start page

  • 2150019


  • 4


  • 28

International Standard Serial Number (ISSN)

  • 1230-1612

Electronic International Standard Serial Number (EISSN)

  • 1793-7191


  • Starting from the canonical symmetroid S(G) associated with a groupoid G, the issue of describing dynamical maps in the groupoidal approach to quantum mechanics is addressed. After inducing a Haar measure on the canonical symmetroid S(G) , the associated von Neumann groupoid algebra is constructed. It is shown that the left-regular representation allows to define linear maps on the groupoid-algebra of the groupoid G and given subsets of functions are associated with completely positive maps. Some simple examples are also presented.


  • Mathematics


  • positive maps; groupoid-algebras; 2-groupoids; functions of positive-type