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- Sorin Popa

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
8,684
112
World Ranking
1272
National Ranking
584

2013 - Fellow of the American Academy of Arts and Sciences

2013 - Fellow of the American Mathematical Society

1995 - Fellow of John Simon Guggenheim Memorial Foundation

- Algebra
- Pure mathematics
- Combinatorics

Sorin Popa mostly deals with Pure mathematics, Subfactor, Discrete mathematics, Von Neumann algebra and Combinatorics. His work on Centralizer and normalizer and Operator algebra is typically connected to Kullback–Leibler divergence and Entropy as part of general Pure mathematics study, connecting several disciplines of science. The concepts of his Subfactor study are interwoven with issues in Type and Tensor product.

His work on Injective function as part of his general Discrete mathematics study is frequently connected to Abelian von Neumann algebra, thereby bridging the divide between different branches of science. His Von Neumann algebra research is multidisciplinary, incorporating elements of Group isomorphism, Normal subgroup and Fundamental group. Many of his studies on Combinatorics involve topics that are commonly interrelated, such as Group.

- Entropy and index for subfactors (528 citations)
- On a class of type $II_1$ factors with Betti numbers invariants (418 citations)
- Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, II (379 citations)

His primary areas of investigation include Pure mathematics, Combinatorics, Group, Discrete mathematics and Von Neumann algebra. His work blends Pure mathematics and Subalgebra studies together. His Combinatorics research includes themes of Free group, Separable space, Type and Normal subgroup.

Sorin Popa combines subjects such as Ergodic theory, Measure, Isomorphism and Conjugacy class with his study of Group. His research in Von Neumann algebra intersects with topics in Automorphism and Conjecture. His research in Equivalence relation focuses on subjects like Fundamental group, which are connected to Uncountable set.

- Pure mathematics (58.78%)
- Combinatorics (32.82%)
- Group (22.14%)

- Pure mathematics (58.78%)
- Combinatorics (32.82%)
- Abelian group (16.03%)

His scientific interests lie mostly in Pure mathematics, Combinatorics, Abelian group, Cohomology and Von Neumann algebra. His research on Pure mathematics frequently links to adjacent areas such as Haagerup property. Within one scientific family, Sorin Popa focuses on topics pertaining to Ergodic theory under Combinatorics, and may sometimes address concerns connected to Group.

His Abelian group research includes elements of Separable space, Type and Class. His study looks at the relationship between Cohomology and topics such as Automorphism, which overlap with Amenable group. Sorin Popa has researched Von Neumann algebra in several fields, including Norm, Hilbert space and Conjecture.

- Unique Cartan decomposition for II1 factors arising from arbitrary actions of free groups (149 citations)
- Unique Cartan decomposition for II_1 factors arising from arbitrary actions of hyperbolic groups (77 citations)
- Representation Theory for Subfactors, $${\lambda}$$-Lattices and C*-Tensor Categories (49 citations)

- Algebra
- Pure mathematics
- Mathematical analysis

Sorin Popa mainly investigates Pure mathematics, Abelian group, Haagerup property, Cohomology and Countable set. With his scientific publications, his incorporates both Pure mathematics and Lambda. His Abelian group study combines topics from a wide range of disciplines, such as Characterization, Class, Centralizer and normalizer and Ultrafilter.

His Ultrafilter course of study focuses on State and Combinatorics. His study explores the link between Haagerup property and topics such as Tensor product that cross with problems in Free product. Sorin Popa has included themes like Von Neumann algebra, Element, Ideal and Hilbert space in his Cohomology 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.

Entropy and index for subfactors

Mihai Pimsner;Sorin Popa.

Annales Scientifiques De L Ecole Normale Superieure **(1986)**

837 Citations

On a class of type $II_1$ factors with Betti numbers invariants

Sorin Popa.

Annals of Mathematics **(2006)**

649 Citations

Strong rigidity of II1 factors arising from malleable actions of w-rigid groups, II

Sorin Popa.

Inventiones Mathematicae **(2006)**

598 Citations

On a class of II1 factors with at most one Cartan subalgebra

Narutaka Ozawa;Sorin Popa.

Annals of Mathematics **(2010)**

438 Citations

Classification of amenable subfactors of type II

Sorin Popa.

Acta Mathematica **(1994)**

365 Citations

On the superrigidity of malleable actions with spectral gap

Sorin Popa.

Journal of the American Mathematical Society **(2007)**

362 Citations

Deformation and rigidity for group actions and von Neumann algebras

Sorin Popa.

Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures, Vol. 1, 2006, ISBN 978-3-03719-022-7, págs. 445-477 **(2006)**

320 Citations

An axiomatization of the lattice of higher relative commutants of a subfactor

Sorin Popa.

Inventiones Mathematicae **(1995)**

317 Citations

Cocycle and orbit equivalence superrigidity for malleable actions of w-rigid groups

Sorin Popa.

Inventiones Mathematicae **(2007)**

287 Citations

On a Problem of R.V. Kadison on Maximal Abelian *-Subalgebras in Factors.

Sorin Popa.

Inventiones Mathematicae **(1981)**

239 Citations

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