24 citations · 51 across the 11 of their papers we have counts for
13 papers
On zigzag maps and the path category of an inverse semigroup
Allan Donsig, Jennifer Gensler, Hannah King +2
We study the path category of an inverse semigroup admitting unique maximal idempotents and give an abstract characterization of the inverse semigroups arising from zigzag maps on…
Cartan Triples
Allan P. Donsig, Adam H. Fuller, David R. Pitts
We introduce the class of Cartan triples as a generalization of the notion of a Cartan MASA in a von Neumann algebra. We obtain a one-to-one correspondence between Cartan triples a…
Von Neumann Algebras and Extensions of Inverse Semigroups
Allan P. Donsig, Adam H. Fuller, David R. Pitts
In the 1970s, Feldman and Moore classified separably acting von Neumann algebras containing Cartan MASAs using measured equivalence relations and 2-cocycles on such equivalence rel…
Amalgams of Inverse Semigroups and C*-algebras
Allan P Donsig, Steven P. Haataja, John C. Meakin
An amalgam of inverse semigroups [S,T,U] is full if U contains all of the idempotents of S and T. We show that for a full amalgam [S,T,U], the C*-algebra of the inverse semigroup a…
Coordinate Systems and Bounded Isomorphisms for Triangular Algebras
Allan P. Donsig, David R. Pitts
For a Banach D-bimodule M over an abelian unital C*-algebra D, we define E(M) as the collection of norm-one eigenvectors for the dual action of D on the Banach space dual of M. Equ…
Norms of Schur Multipliers
Kenneth R. Davidson, Allan P. Donsig
A subset P of N x N is called Schur bounded if every infinite matrix with bounded entries which is zero off of P yields a bounded Schur multiplier on B(H). Such sets are characteri…