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- Iain Raeburn

Mathematics

New Zealand

2022

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
7,585
138
World Ranking
1285
National Ranking
5

2022 - Research.com Mathematics in New Zealand Leader Award

2014 - Fellow of the Royal Society of New Zealand

- 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.

- 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)

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.

- Pure mathematics (47.74%)
- Discrete mathematics (31.61%)
- Combinatorics (28.39%)

- Pure mathematics (47.74%)
- Discrete mathematics (31.61%)
- Crossed product (21.94%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Morita Equivalence and Continuous-Trace $C^*$-Algebras

Iain Raeburn;Dana P. Williams.

**(1998)**

1058 Citations

Graphs, Groupoids, and Cuntz–Krieger Algebras

Alex Kumjian;David Pask;Iain Raeburn;Jean Renault.

Journal of Functional Analysis **(1997)**

530 Citations

CUNTZ-KRIEGER ALGEBRAS OF DIRECTED GRAPHS

Alex Kumjian;David Pask;Iain Raeburn.

Pacific Journal of Mathematics **(1998)**

475 Citations

THE C -ALGEBRAS OF ROW-FINITE GRAPHS

Teresa Bates;David Pask;Iain Raeburn.

**(2000)**

336 Citations

Twisted crossed products of C*-algebras

Judith A. Packer;Iain Raeburn.

Mathematical Proceedings of the Cambridge Philosophical Society **(1989)**

282 Citations

The ideal structure of the $C\sp *$-algebras of infinite graphs

Teresa Bates;Jeong Hee Hong;Iain Raeburn;Wojciech Szymański.

Illinois Journal of Mathematics **(2002)**

224 Citations

Semigroup Crossed Products and the Toeplitz Algebras of Nonabelian Groups

Marcelo Laca;Iain Raeburn.

Journal of Functional Analysis **(1996)**

195 Citations

The Toeplitz algebra of a Hilbert bimodule

Neal J Fowler;Iain Raeburn.

Indiana University Mathematics Journal **(1999)**

192 Citations

A categorical approach to imprimitivity theorems for C*-dynamical systems

Siegfried Echterhoff;S. Kaliszewski;John Quigg;Iain Raeburn.

Memoirs of the American Mathematical Society **(2006)**

178 Citations

THE C-ALGEBRAS OF INFINITE GRAPHS

Neal J Fowler;Marcelo Laca;Iain Raeburn.

Proceedings of the American Mathematical Society **(1999)**

171 Citations

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