210 citations · 253 across the 14 of their papers we have counts for
18 papers
Regular ideals, Ideal Intersections and Quotients II
Jonathan H. Brown, Adam H. Fuller, David R. Pitts +1
Let be a regular inclusion of C*-algebras satisfying the ideal intersection property and with a faithful invariant pseudo-expectation. A complete description of the…
Fourier coefficients and rapid decay in reduced groupoid C*-algebras
Adam H. Fuller, Pradyut Karmakar
Let be a twist over a locally compact Hausdorff étale groupoid . Given in the reduced C-algebra with open support we ask wh…
Intermediate Subalgebras of Cartan embeddings in rings and C*-algebras
Jonathan H. Brown, Lisa Orloff Clark, Adam H. Fuller
Let be a quasi-Cartan pair of algebras. Then there exists a unique discrete groupoid twist whose twisted Steinberg algebra is isomorphic to in a way th…
Regular ideals, ideal intersections, and quotients
Jonathan H. Brown, Adam H. Fuller, David R. Pitts +1
Let be an inclusion of C-algebras. We study the relationship between the regular ideals of and regular ideals of . We show that if is a r…
Słociński-Wold decompositions for row-isometries
Adam H. Fuller
Słociński gave sufficient conditions for commuting isometries to have a nice Wold-like decomposition. In this note we provide analogous results for row-isometries satisfying certai…
Regular ideals of graph algebras
Jonathan H. Brown, Adam H. Fuller, David R. Pitts +1
Let be the graph C-algebra of a row-finite graph . We give a complete description of the vertex sets of the gauge-invariant regular ideals of . It is shown…
Intermediate C*-algebras of Cartan Embeddings
Jonathan H. Brown, Ruy Exel, Adam H. Fuller +2
Let be a C-algebra and let be a Cartan subalgebra of . We study the following question: if is a C-algebra such that , is a Car…
Graded C*-algebras and twisted groupoid C*-algebras
Jonathan Brown, Adam Fuller, David Pitts +1
Let -algebra that is acted upon by a compact abelian group. We show that if the fixed-point algebra of the action contains a Cartan subalgebra satisfying an appropriate re…
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…
Boundary representations of operator spaces, and compact rectangular matrix convex sets
Adam H. Fuller, Michael Hartz, Martino Lupini
We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein-Milman and…
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…
Semicrossed Products of Operator Algebras: A Survey
Kenneth R. Davidson, Adam H. Fuller, Evgenios T. A. Kakariadis
Semicrossed product algebras have been used to study dynamical systems since their introduction by Arveson in 1967. In this survey article, we discuss the history and some recent w…
Semicrossed Products of Operator Algebras by Semigroups
Kenneth R. Davidson, Adam H. Fuller, Evgenios T. A. Kakariadis
We examine the semicrossed products of a semigroup action by -endomorphisms on a C*-algebra, or more generally of an action on an arbitrary operator algebra by completely contra…
Isomorphisms of Lattices of Bures-Closed Bimodules over Cartan MASAs
Adam H. Fuller, David R. Pitts
For i=1,2, let (M_i,D_i) be pairs consisting of a Cartan MASA D_i in a von Neumann algebra M_i, let atom(D_i) be the set of atoms of D_i, and let S_i be the lattice of Bures-closed…
Nonself-adjoint 2-graph algebras
Adam H. Fuller, Dilian Yang
We study the structure of weakly-closed nonself-adjoint algebras arising from representations of single vertex 2-graphs. These are the algebras generated by 2 isometric tuples whic…
Isometric tuples are hyperreflexive
Adam H. Fuller, Matthew Kennedy
An -tuple of operators acting on a Hilbert space is said to be isometric if the row operator is an isometry. We prove that every…
Nonself-adjoint semicrossed products by abelian semigroups
Adam Hanley Fuller
Let be the semigroup $\mathcal{S}=\sum^{\oplus k}_{i=1}\Sc{S}_i$, where for each , is a countable subsemigroup of the additive semigroup $\B{R…
Finitely Correlated Representations of Product Systems of -Correspondences over
Adam Hanley Fuller
We study isometric representations of product systems of correspondences over the semigroup which are minimal dilations of finite dimensional, fully coisometric repr…