ON AN ORDER-BASED CONSTRUCTION OF A TOPOLOGICAL GROUPOID FROM AN INVERSE SEMIGROUP
By Daniel Lenz. Proceedings of the Edinburgh Mathematical Society, 2008
57 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3919876e84225ed2de72529449dd72328122157f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Mark V. Lawson
- Ben Steinberg
- Enrique Pardo
- R. Exel
- David Milan
- David G. Jones
- Daniel Lenz
- Charles Starling
In Geometry and Topology
- Mark V. Lawson
- Enrique Pardo
- R. Exel
- Ben Steinberg
- David G. Jones
- Daniel Lenz
- David Milan
- Mikhailo Dokuchaev
In Mathematical Physics
- Mark V. Lawson
- Ben Steinberg
- Enrique Pardo
- R. Exel
- Daniel Lenz
- David G. Jones
- David Milan
- L. O. Clark
Citations in the corpus
- ON INVERSE SEMIGROUP C ∗ -ALGEBRAS AND CROSSED PRODUCTS (2011, background): “In fact, it is known that G (S) is algebraically the underlying groupoid of a certain inverse semigroup T containing S [17].”
- Graph inverse semigroups: their characterization and completion (2011, methodology): “A much more detailed discussion of cover-to-join maps and how they originated from the work of Exel [9] and Lenz [37]can be found in [32] which can be viewed as a substantial generalization of this paper.”
- Pseudogroups and their étale groupoids (2011, methodology): “This set the stage for [16], where the first author showed that the topological groupoids arising in the case of the Cuntz C∗-algebras could be constructed from a class of inverse monoids, called boolean inverse monoids, in a way generalising the classical Stone duality between unital boolean algebr”
- The tight groupoid of an inverse semigroup (2014, background): “In the special case that all tight filters are ultra-filters, the minimality of the tight groupoid has been characterized by Lenz in [16].”
- A Groupoid Approach to Discrete Inverse Semigroup Algebras (2009, methodology): “The universal groupoid of an inverse semigroup was introduced by Paterson [17] and has since been studied by several authors [6, 11,20,26].”
- A NONCOMMUTATIVE GENERALIZATION OF STONE DUALITY (2009, methodology): “Lenz also investigated conditions on the inverse semigroup S which guarantee that this reduced groupoid had pleasant properties.”