Quasi-invariant lifts of completely positive maps for groupoid actions

Key Points

• Quasi-invariant, completely positive lifts exist for maps from A to a quotient C*-algebra, enhancing the understanding of groupoid actions.
• Key evidence shows that these lifts maintain contractivity, opening new connections in the theory of maps and algebras.
• The approach involves constructing the Busby invariant for G-actions, showcasing its significance in equivariant theory.
• This may enable deeper insights into C*-algebra properties, as well as applications in broader mathematical fields.