12 citations · 35 across the 12 of their papers we have counts for
13 papers
Cartan inverse semigroups and twisted Steinberg algebras
Nathan Brownlowe, Lisa Orloff Clark, Ying-Fen Lin +1
We introduce the notion of a Cartan inverse semigroup and an (algebraic) semi-Cartan subalgebra in an -algebra A, providing a purely algebraic analogue of Cartan semigroups and…
Lattices of strongly reflexive masa-bimodules
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We characterise the density of the positive rank one subspace of a masa-bimodule in terms of its support. We prove that strongly reflexive masa-bimodules form a Boolean lattice und…
The local bisection hypothesis for twisted groupoid C*-algebras
Becky Armstrong, Jonathan H. Brown, Lisa Orloff Clark +4
In this note, we present criteria that are equivalent to a locally compact Hausdorff groupoid being effective. One of these conditions is that satisfies the "C*-algebraic l…
Linear preservers on idempotents of Fourier algebras
Ying-Fen Lin, Shiho Oi
In this article, we give a representation of bounded complex linear operators which preserve idempotent elements on the Fourier algebra of a locally compact group. When such an ope…
Reconstruction of twisted Steinberg algebras
Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark +6
We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely whic…
Filtering germs: Groupoids associated to inverse semigroups
Becky Armstrong, Lisa Orloff Clark, Astrid an Huef +2
We investigate various groupoids associated to an arbitrary inverse semigroup with zero. We show that the groupoid of filters with respect to the natural partial order is isomorphi…
The C*-algebra of the Boidol group
Ying-Fen Lin, Jean Ludwig
The Boidol group is the smallest non-*-regular exponential Lie group. It is of dimension 4 and its Lie algebra is an extension of the Heisenberg Lie algebra by the reals with the r…
Twisted Steinberg algebras
Becky Armstrong, Lisa Orloff Clark, Kristin Courtney +3
We introduce twisted Steinberg algebras over a commutative unital ring . These generalise Steinberg algebras and are a purely algebraic analogue of Renault's twisted groupoid C*…
Schur null preserving maps
Ying-Fen Lin, Donal O'Cofaigh
We provide a characterisation of Schur multiplicative maps on both finite and infinite dimensional matrix spaces, and show that every surjective Schur multiplicative contraction is…
Operator system structures and extensions of Schur multipliers
Ying-Fen Lin, Ivan G. Todorov
For a given C*-algebra , we establish the existence of maximal and minimal operator -system structures on an AOU -space. In the case $\mathca…
A retract theorem for nilpotent Lie groups
Ying-Fen Lin, Jean Ludwig, Carine Molitor-Braun
Let $G= \exp(\g)$ be a connected, simply connected nilpotent Lie group. We show that for every -invariant smooth sub-manifold of , there exists an open relatively compa…
Positive extensions of Schur multipliers
Rupert H. Levene, Ying-Fen Lin, Ivan G. Todorov
We introduce partially defined Schur multipliers and obtain necessary and sufficient conditions for the existence of extensions to fully defined positive Schur multipliers, in term…
The solvable Lie group : an example of an almost -C*-algebra
Junko Inoue, Ying-Fen Lin, Jean Ludwig
Motivated by the description of the C*-algebra of the affine automorphism group of the Siegel upper half-plane of degree 2 as an algebra of operator fields defined over…