What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Algebra
- Mathematical analysis
His main research concerns Pure mathematics, Discrete mathematics, Crossed product, Group and Algebra.
His study in the fields of Second-countable space under the domain of Pure mathematics overlaps with other disciplines such as Fell.
The study incorporates disciplines such as Non-abelian group, Unitary matrix and Bounded function in addition to Discrete mathematics.
His work carried out in the field of Crossed product brings together such families of science as Algebra representation, Division algebra, Cellular algebra, Group algebra and Finite case.
In his study, which falls under the umbrella issue of Group, Structure, Automorphism, Exact sequence and Isomorphism is strongly linked to Representation theory.
He combines subjects such as Commutative property, Order and Matrix group with his study of Discrete group.
His most cited work include:
- Circle actions on C*-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence (259 citations)
- Inverse semigroups and combinatorial C*-algebras (257 citations)
- Associativity of crossed products by partial actions, enveloping actions and partial representations (200 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Discrete mathematics, Crossed product, Group and Combinatorics.
Many of his research projects under Pure mathematics are closely connected to Action with Action, tying the diverse disciplines of science together.
The Discrete mathematics study combines topics in areas such as C*-algebra, Division algebra, Subalgebra and Cellular algebra.
The Crossed product study which covers Endomorphism that intersects with Operator algebra.
In his study, Discrete group is strongly linked to Order, which falls under the umbrella field of Group.
His Combinatorics study which covers Free group that intersects with Quotient.
He most often published in these fields:
- Pure mathematics (72.73%)
- Discrete mathematics (35.06%)
- Crossed product (25.97%)
What were the highlights of his more recent work (between 2013-2021)?
- Pure mathematics (72.73%)
- Hausdorff space (12.34%)
- Inverse semigroup (20.13%)
In recent papers he was focusing on the following fields of study:
Ruy Exel spends much of his time researching Pure mathematics, Hausdorff space, Inverse semigroup, Discrete mathematics and Crossed product.
The various areas that Ruy Exel examines in his Pure mathematics study include Transformation and Commutative ring.
He has included themes like Structure, Locally compact space and Uniqueness theorem for Poisson's equation in his Hausdorff space study.
His Inverse semigroup research incorporates themes from Zero, Algebraic number, Section and Graph.
His Discrete mathematics study incorporates themes from Invertible matrix, Regular representation and Star.
His Crossed product research is multidisciplinary, incorporating elements of Commutative property and Quotient.
Between 2013 and 2021, his most popular works were:
- Partial Dynamical Systems, Fell Bundles and Applications (66 citations)
- Dynamical systems associated to separated graphs, graph algebras, and paradoxical decompositions☆ (54 citations)
- The tight groupoid of an inverse semigroup (48 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Mathematical analysis
Ruy Exel mainly investigates Pure mathematics, Hausdorff space, Algebra over a field, Fell and Inverse semigroup.
In general Pure mathematics, his work in Commutative property and Compactification is often linked to Alphabet linking many areas of study.
His biological study spans a wide range of topics, including Morita equivalence, Mathematics Subject Classification, Essentially unique, Morita therapy and Commutative ring.
His Commutative ring research is multidisciplinary, relying on both Structure, Unital, Uniqueness theorem for Poisson's equation and Ideal.
As a member of one scientific family, he mostly works in the field of Inverse semigroup, focusing on Zero and, on occasion, Discrete mathematics.
His study in Bipartite graph is interdisciplinary in nature, drawing from both Free group and Crossed product.
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