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Mathematics

D-Index
43
Citations
10857
World Ranking
1664
National Ranking
719

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Marc A. Rieffel is affiliated with the University of California, Berkeley in the United States. Their academic work spans multiple disciplines, primarily focusing on mathematics, physics and astronomy, and computer science. Over the course of their research career, they have contributed to the fields of mathematical physics, statistical and nonlinear physics, and artificial intelligence, along with areas such as algebra and number theory and nuclear and high energy physics.

The main topics covered in their publications include advanced operator algebra research, noncommutative and quantum gravity theories, advanced topics in algebra, black holes and theoretical physics, quantum computing algorithms and architecture, and quantum information and cryptography. These areas reflect a strong focus on theoretical and mathematical foundations in both physics and computer science contexts.

Marc A. Rieffel has published recent work in various scholarly venues. Selected papers include:

  • Dirac Operators for Matrix Algebras Converging to Coadjoint Orbits, 2023, Communications in Mathematical Physics
  • Cotangent bundles for "matrix algebras converge to the sphere", 2020, Expositiones Mathematicae
  • Quantum Hamming Metrics, 2025, arXiv (Cornell University)

They have contributed to the following publication venues:

  • Communications in Mathematical Physics
  • Expositiones Mathematicae
  • arXiv (Cornell University)

Marc A. Rieffel has been recognized with the title of Fellow of the American Mathematical Society since 2013.

Best Publications

  • Induced representations of C∗-algebras

    Marc A Rieffel

  • C∗-algebras associated with irrational rotations

    Marc A. Rieffel

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

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

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

    Marc A. Rieffel

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

    Marc A. Rieffel

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

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

  • Projective Modules over Higher-Dimensional Non-Commutative Tori

    Marc A. Rieffel

  • Deformation Quantization of Heisenberg Manifolds

    Marc A. Rieffel

  • Metrics on states from actions of compact groups

    Marc A. Rieffel

  • Metrics on State Spaces

    Marc A. Rieffel

  • Yang-Mills for noncommutative two-tori

    A. Connes;Marc A. Rieffel

  • The cancellation theorem for projective modules over irrational rotation C*-algebras

    Marc A. Rieffel

  • Group C*-algebras as compact quantum metric spaces

    Marc A. Rieffel

  • Induced Banach representations of Banach algebras and locally compact groups

    Marc A Rieffel

  • Gromov-Hausdorff distance for quantum metric spaces

    Marc A. Rieffel

  • Von Neumann algebras associated with pairs of lattices in Lie groups

    Marc A. Rieffel

  • Continuous Fields of C*-Algebras Coming from Group Cocycles and Actions.

    Marc A. Rieffel

  • Morita equivalence of multidimensional noncommutative tori

    Marc A. Rieffel;Albert S. Schwarz

  • Matrix algebras converge to the sphere for quantum Gromov--Hausdorff distance

    Marc A. Rieffel

  • Morita equivalence for operator algebras

    Unknown

  • Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, I, II. By J. M. G. Fell and R. S. Doran

    Marc A. Rieffel

Frequent Co-Authors

Albert S. Schwarz
Albert S. Schwarz University of California, Davis
Alain Connes
Alain Connes Collège de France

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