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- Marc A. Rieffel

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
33
Citations
9,275
73
World Ranking
2123
National Ranking
908

2013 - Fellow of the American Mathematical Society

- Pure mathematics
- Mathematical analysis
- Algebra

Marc A. Rieffel mostly deals with Pure mathematics, Discrete mathematics, Morita equivalence, Algebra and Mathematical analysis. Marc A. Rieffel combines subjects such as Structure and Topology with his study of Pure mathematics. Marc A. Rieffel interconnects Lipschitz domain and Lipschitz continuity in the investigation of issues within Discrete mathematics.

His Morita equivalence research is multidisciplinary, incorporating perspectives in Isomorphism and Congruence relation. His Algebra study integrates concerns from other disciplines, such as Locally compact group and Projective test. His Mathematical analysis research incorporates elements of Noncommutative geometry, Mathematical physics, Torus and Moduli space.

- Induced representations of C∗-algebras (639 citations)
- C∗-algebras associated with irrational rotations (595 citations)
- Representations of ∗ -Algebras, Locally Compact Groups, and Banach ∗ -Algebraic Bundles, I, II. (437 citations)

His primary areas of investigation include Pure mathematics, Algebra, Metric space, Discrete mathematics and Metric. Marc A. Rieffel has included themes like Matrix and Group in his Pure mathematics study. His Algebra research integrates issues from Coherent states and Filtered algebra.

His studies in Metric space integrate themes in fields like Length function, Combinatorics, Sequence, Lipschitz continuity and Hausdorff distance. Marc A. Rieffel has researched Discrete mathematics in several fields, including Non-associative algebra, Abelian group and Subalgebra. His study in the field of Metric map, Convex metric space and Intrinsic metric is also linked to topics like Trace distance.

- Pure mathematics (59.09%)
- Algebra (31.82%)
- Metric space (21.59%)

- Pure mathematics (59.09%)
- Metric space (21.59%)
- Vector bundle (12.50%)

His main research concerns Pure mathematics, Metric space, Vector bundle, Matrix and Algebra. Marc A. Rieffel studies Quotient, a branch of Pure mathematics. His Metric space study combines topics from a wide range of disciplines, such as Metric and Lipschitz continuity.

The Vector bundle study combines topics in areas such as Hausdorff distance and Dirac. His Matrix research is multidisciplinary, relying on both Point and Sequence. His biological study spans a wide range of topics, including Class and Schrödinger's cat.

- Leibniz seminorms for "Matrix algebras converge to the sphere" (76 citations)
- Vector Bundles and Gromov–Hausdorff Distance (43 citations)
- Leibniz seminorms and best approximation from C * -subalgebras (18 citations)

- Pure mathematics
- Mathematical analysis
- Algebra

The scientist’s investigation covers issues in Pure mathematics, Vector bundle, Metric space, Matrix and Algebra. His Pure mathematics research includes elements of Bounded function and Hausdorff distance. His Bounded function study combines topics in areas such as Norm, Unital and Subalgebra.

His Hausdorff distance study frequently intersects with other fields, such as Simple. His work on Metric expands to the thematically related Algebra. He has included themes like Commutative property and Laplace operator in his Quotient study.

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.

Induced representations of C∗-algebras

Marc A Rieffel.

Advances in Mathematics **(1974)**

1017 Citations

C∗-algebras associated with irrational rotations

Marc A. Rieffel.

Pacific Journal of Mathematics **(1981)**

961 Citations

Representations of ∗ -Algebras, Locally Compact Groups, and Banach ∗ -Algebraic Bundles, I, II.

Marc A. Rieffel;J. M. G. Fell;R. S. Doran.

American Mathematical Monthly **(1990)**

691 Citations

Dimension and Stable Rank in the K‐Theory of C*‐Algebras

Marc A. Rieffel.

Proceedings of The London Mathematical Society **(1983)**

621 Citations

Morita equivalence for c∗-algebras and w∗-algebras

Marc A. Rieffel.

Journal of Pure and Applied Algebra **(1974)**

552 Citations

Stable isomorphism and strong Morita equivalence of $C^*$-algebras.

Lawrence G. Brown;Philip Green;Marc A. Rieffel.

Pacific Journal of Mathematics **(1977)**

539 Citations

Projective Modules over Higher-Dimensional Non-Commutative Tori

Marc A. Rieffel.

Canadian Journal of Mathematics **(1988)**

519 Citations

Deformation Quantization of Heisenberg Manifolds

Marc A. Rieffel.

Communications in Mathematical Physics **(1989)**

501 Citations

Metrics on State Spaces

Marc A. Rieffel.

arXiv: Operator Algebras **(1999)**

282 Citations

Metrics on states from actions of compact groups

Marc A. Rieffel.

Documenta Mathematica **(1998)**

279 Citations

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