# Narutaka Ozawa

Japanese mathematician

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## Narutaka Ozawa's Degrees

- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo

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## Why Is Narutaka Ozawa Influential?

(Suggest an Edit or Addition)According to Wikipedia, is a Japanese mathematician, known for his work in operator algebras and discrete groups. He has been a professor at Kyoto University since 2013. He earned a bachelor's degree in mathematics in 1997 from the University of Tokyo and a Ph.D. in mathematics in 2000 from the same institution. One year later he received a Ph.D. in mathematics from Texas A&M University. He was selected for one of the prestigious Sloan Research Fellowships in 2005 and was an invited speaker at the 2006 ICM in Madrid where he gave a talk on "Amenable actions and Applications". He has won numerous prizes including the Mathematical Society of Japan Spring Prize and the Japan Society for the Promotion of Science Prize. Before becoming a full professor at Kyoto University in 2013, he was an associate professor at the University of Tokyo and at University of California, Los Angeles.

## Narutaka Ozawa's Published Works

### Published Works

- On a class of II1 factors with at most one Cartan subalgebra, II (2007) (203)
- Amenable actions and exactness for discrete groups (2000) (196)
- C*-simplicity and the unique trace property for discrete groups (2014) (140)
- About the Connes embedding conjecture (2013) (122)
- ABOUT THE QWEP CONJECTURE (2003) (118)
- A Kurosh-type theorem for type II1 factors (2004) (116)
- On a class of $\mathrm{II}_1$ factors with at most one Cartan subalgebra (2007) (114)
- Some prime factorization results for type II1 factors (2003) (104)
- Hyperbolic Group C *-Algebras and Free-Product C *-Algebras as Compact Quantum Metric Spaces (2003) (91)
- On injectivity and nuclearity for operator spaces (2001) (89)
- On Ulam stability (2010) (86)
- Examples of groups which are not weakly amenable (2010) (77)
- Boundary amenability of relatively hyperbolic groups (2005) (77)
- Weak Amenability of Hyperbolic Groups (2007) (71)
- About the Connes Embedding Conjecture---Algebraic approaches--- (2012) (68)
- There is no separable universal II_1-factor (2002) (60)
- Homogeneity of the Pure State Space of a Separable ${{C}^{*}}$ -Algebra (2001) (54)
- Free Banach spaces and the approximation properties (2012) (51)
- Tsirelson's problem and asymptotically commuting unitary matrices (2012) (49)
- Dixmier approximation and symmetric amenability for C*-algebras (2013) (44)
- The Dixmier problem, lamplighters and Burnside groups (2009) (44)
- Amenable actions and applications (2006) (40)
- An example of a solid von Neumann algebra (2008) (39)
- There is no separable universal ₁-factor (2003) (35)
- NONCOMMUTATIVE REAL ALGEBRAIC GEOMETRY OF KAZHDAN’S PROPERTY (T) (2013) (31)
- A functional analysis proof of Gromov's polynomial growth theorem (2015) (29)
- Aut ( F 5 ) has property (T). (2019) (28)
- A note on non-amenability of B(\ell_p) for p=1,2 (2004) (27)
- Mankiewicz's theorem and the Mazur--Ulam property for C*-algebras (2018) (27)
- A characterization of completely 1-complemented subspaces of noncommutative L1-spaces (2002) (23)
- OPERATOR ALGEBRAIC APPROACH TO INVERSE AND STABILITY THEOREMS FOR AMENABLE GROUPS (2017) (22)
- A NONSEPARABLE AMENABLE OPERATOR ALGEBRA WHICH IS NOT ISOMORPHIC TO A $C^*$ -ALGEBRA (2013) (21)
- Mankiewicz’s theorem and the Mazur–Ulam property for $\mathbf {C}^*$-algebras (2020) (21)
- Real positivity and approximate identities in Banach algebras (2014) (19)
- A remark on fullness of some group measure space von Neumann algebras (2016) (19)
- Finite-dimensional representations constructed from random walks (2016) (18)
- An application of expanders to B(ℓ2)⊗B(ℓ2) (2003) (18)
- Boundaries of reduced free group C*‐algebras (2004) (18)
- Elementary amenable groups are quasidiagonal (2014) (17)
- A comment on free group factors (2010) (16)
- Homotopy invariance of AF-embeddability (2002) (16)
- AN INVITATION TO THE SIMILARITY PROBLEMS : AFTER PISIER(Operator Space Theory and its Applications) (2006) (14)
- Quasi-homomorphism rigidity with non-commutative targets (2009) (12)
- Full Factors and Co-amenable Inclusions (2019) (12)
- LECTURE ON THE FURSTENBERG BOUNDARY AND C∗-SIMPLICITY (2014) (11)
- Group approximation in Cayley topology and coarse geometry, III: Geometric property (T) (2014) (11)
- Haagerup approximation property via bimodules (2015) (11)
- On 𝒪ℒ∞ structures of nuclear C*-algebras (2003) (11)
- A remark on amenable von Neumann subalgebras in a tracial free product (2015) (9)
- $${\text {Aut}}({\mathbb {F}}_5)$$ has property (T) (2017) (9)
- A CONTINUUM OF C*-NORMS ON ${\mathbb B}$(H) ⊗ ${\mathbb B}$(H) AND RELATED TENSOR PRODUCTS (2015) (8)
- Metric Spaces with Subexponential asymptotic Dimension Growth (2011) (8)
- $\operatorname{Aut}(\mathbb{F}_5)$ has property $(T)$ (2017) (8)
- A NON-EXTENDABLE BOUNDED LINEAR MAP BETWEEN C*-ALGEBRAS (2001) (6)
- On characterizations of amenable $$\hbox {C}^*$$-dynamical systems and new examples (2020) (5)
- Almost Completely Isometric Embeddings between Preduals of von Neumann Algebras (2001) (5)
- Is an Irng singly Generated as an Ideal? (2011) (5)
- On characterizations of amenable C ∗ -dynamical systems and new examples (2021) (5)
- On the set of finite-dimensional subspaces of preduals of von Neumann algebras (2000) (4)
- A SURVEY ON CHARACTERIZATION OF NUCLEAR C^*-ALGEBRAS (Recent Aspects of C^*-algebras) (2002) (3)
- A quantitative version of the commutator theorem for zero trace matrices (2012) (3)
- An entropic proof of cutoff on Ramanujan graphs (2020) (2)
- A substitute for Kazhdan's property (T) for universal non-lattices (2022) (2)
- A continuum of $\mathrm{C}^*$-norms on $\IB(H)\otimes \IB(H)$ and related tensor products (2014) (2)
- Discrete groups and operator algebras (2009) (1)
- No separable II_1-factor can contain all separable II_1-factors as its subfactors (2002) (1)
- A REMARK ON CONTRACTIBLE BANACH ALGEBRAS (2011) (1)
- Operator spaces, completely bounded maps and duality (2008) (0)
- ORBIT EQUIVALENCE AND OPERATOR ALGEBRAS (2007) (0)
- C*-simplicity and the unique trace property for discrete groups (2017) (0)
- \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {Aut}}({\mathbb {F}}_5)$$\end{document}Aut(F5) has property (T) (2019) (0)
- Positive definite functions, cocycles and Schoenberg’s Theorem (2008) (0)
- On ${\OL}_{\infty}$ structure of nuclear $C^*$-algebras (2002) (0)
- Norms of vector functionals (2016) (0)
- Weak expectation property and local lifting property (2008) (0)
- Approximation properties for groups (2008) (0)
- Groups and graphs (2008) (0)
- CRUDE NOTES FOR A MINI-COURSE AT NCGOA 2005 (2005) (0)
- Exact groups and related topics (2008) (0)
- DIGEST OF THE CARTAN PAPER BY OZAWA AND POPA (New development of Operator Algebras) (2008) (0)
- An Application of Expanders to $B(H) \otimes B(H)$ (2001) (0)
- Local reflexivity and other tensor product conditions (2008) (0)
- Herrero’s approximation problem (2008) (0)
- Amenable traces and Kirchberg’s factorization property (2008) (0)
- Semi-pre-C^*-algebras (2012) (0)
- NUCLEARITY OF REDUCED AMALGAMATED FREE PRODUCT $C^*$-ALGEBRAS (Theory of Operator Algebras and its Applications) (2002) (0)
- Title NUCLEARITY OF REDUCED AMALGAMATED FREE PRODUCT $C^*$-ALGEBRAS (Theory of Operator Algebras (2018) (0)
- Ultrafilters and ultraproducts (2008) (0)
- About the Connes embedding conjecture (2013) (0)
- Nuclear and exact *-algebras: Definitions, basic facts and examples (2008) (0)
- Classification of group von Neumann algebras (2008) (0)
- Summary and open problems (2008) (0)
- Elementary amenable groups are quasidiagonal (2015) (0)
- Counterexamples in -homology and -theory (2008) (0)

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