What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Combinatorics
The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Combinatorics, Uniqueness theorem for Poisson's equation and Graph algebra.
His Pure mathematics study frequently draws connections to adjacent fields such as Algebra.
Group action is closely connected to Representation theory in his research, which is encompassed under the umbrella topic of Discrete mathematics.
Iain Raeburn combines subjects such as Operator algebra, C*-algebra, Directed graph and Graph with his study of Uniqueness theorem for Poisson's equation.
His work deals with themes such as Hilbert space, Graph, Loop and Distribution, which intersect with Directed graph.
Iain Raeburn interconnects Locally compact space and Abelian group in the investigation of issues within Crossed product.
His most cited work include:
- Morita Equivalence and Continuous-Trace $C^*$-Algebras (640 citations)
- Graphs, Groupoids, and Cuntz–Krieger Algebras (448 citations)
- CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS (428 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Pure mathematics, Discrete mathematics, Combinatorics, Crossed product and Algebra.
His Pure mathematics research includes elements of Structure and Group.
His research on Discrete mathematics focuses in particular on Graph algebra.
Iain Raeburn has researched Combinatorics in several fields, including Operator algebra and Uniqueness theorem for Poisson's equation.
His Crossed product research incorporates elements of Endomorphism, Semigroup, Locally compact group and Equivariant map.
His Locally compact space study deals with Morita equivalence intersecting with Functor, Brauer group and Cohomology.
He most often published in these fields:
- Pure mathematics (47.74%)
- Discrete mathematics (31.61%)
- Combinatorics (28.39%)
What were the highlights of his more recent work (between 2007-2020)?
- Pure mathematics (47.74%)
- Discrete mathematics (31.61%)
- Crossed product (21.94%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Discrete mathematics, Crossed product, Combinatorics and Endomorphism.
His Pure mathematics study combines topics from a wide range of disciplines, such as Structure, Simple and Rank.
Iain Raeburn works in the field of Discrete mathematics, focusing on Graph algebra in particular.
His Crossed product research includes themes of Morita equivalence and Locally compact space, Locally compact group.
Many of his research projects under Combinatorics are closely connected to Dynamical systems theory with Dynamical systems theory, tying the diverse disciplines of science together.
In his work, Representation theory is strongly intertwined with Semigroup, which is a subfield of Endomorphism.
Between 2007 and 2020, his most popular works were:
- EQUILIBRIUM STATES ON THE CUNTZ-PIMSNER ALGEBRAS OF SELF-SIMILAR ACTIONS (60 citations)
- Kumjian-Pask algebras of higher-rank graphs (56 citations)
- KMS states on C⁎-algebras associated to higher-rank graphs☆ (53 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Mathematical analysis
His primary areas of study are Combinatorics, Pure mathematics, Simplex, Discrete mathematics and Path.
His Directed graph study in the realm of Combinatorics connects with subjects such as Dynamical systems theory.
Pure mathematics is closely attributed to Product in his study.
Iain Raeburn integrates Discrete mathematics and Multiresolution analysis in his studies.
His work in Path covers topics such as Rank which are related to areas like Isomorphism and Algebra over a field.
Iain Raeburn interconnects Toeplitz algebra and Vertex in the investigation of issues within Graph algebra.
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