N ov 2 00 5 Morphisms of locally compact groupoids endowed with Haar systems

  • Mădălina Roxana Buneci, Piotr Stachura
  • Published 2005
We shall generalize the notion of groupoid morphism given by Zakrzewski ( [19], [20]) to the setting of locally compact σ-compact Hausdorff groupoids endowed with Haar systems. To each groupoid Γ endowed with a Haar system λ we shall associate a C∗-algebra C∗ (Γ, λ), and we construct a covariant functor (Γ, λ) → C∗ (Γ, λ) from the category of locally… CONTINUE READING