Algebroids associated to the groupoid of partially invertible elements of a $W^{\ast }$-algebra

Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska

In the paper we study the algebroid A of the groupoid of partially invertible elements over the lattice of orthogonal projections of a $W^{\ast }$-algebra. In particular the complex anal…