Masamichi Takesaki

Q: What Schools Are Affiliated With Masamichi Takesaki

Masamichi Takesaki is affiliated with the following schools: Tohoku University, University of Tokyo, University of California, Los Angeles

Masamichi Takesaki's AcademicInfluence.com Rankings

Masamichi Takesaki

Mathematics

#2916

World Rank

#4398

Historical Rank

Measure Theory

#993

World Rank

#1287

Historical Rank

mathematics Degrees

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Mathematics

Masamichi Takesaki's Degrees

PhD Mathematics University of Tokyo

Why Is Masamichi Takesaki Influential?

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According to Wikipedia, Masamichi Takesaki is a Japanese mathematician working in the theory of operator algebras. Takesaki studied at Tohoku University, earning a bachelor's degree in 1956, a master's degree in 1958 and a doctorate in 1965. Beginning in 1958 he was a research assistant at the Tokyo Institute of Technology and from 1965 to 1968 he was an associate professor at Tohoku University. From 1968 to 1969 he was a visiting associate professor at the University of Pennsylvania. In 1970, he became a professor at the University of California, Los Angeles. He was also a visiting professor at Aix-Marseille University and Bielefeld University .

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Masamichi Takesaki's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Theory of Operator Algebras II (1979) (3002)
Conditional Expectations in von Neumann Algebras (1972) (454)
Tomita's Theory of Modular Hilbert Algebras and its Applications (1970) (364)
Duality for crossed products and the structure of von Neumann algebras of type III (1973) (321)
THE FLOW OF WEIGHTS ON FACTORS OF TYPE III Part1 (1977) (232)
ON THE CROSS-NORM OF THE DIRECT PRODUCT OF C *-ALGEBRAS (1964) (184)
The Radon-Nikodym theorem for von neumann algebras (1973) (126)
Nuclear C*-Algebras (2003) (123)
Operator algebras and applications (1989) (122)
ON THE CONJUGATE SPACE OF OPERATOR ALGEBRA (1958) (116)
Extension of KMS states and chemical potential (1977) (108)
Covariant representations ofC*-algebras and their locally compact automorphism groups (1967) (105)
Duality and Subgroups (1971) (96)
The structure of the automorphism group of an injective factor and the cocycle conjugacy of discrete abelian group actions (1992) (83)
Duality for Crossed Products of von Neumann Algebras (1975) (76)
APPLICATIONS OF FIBRE BUNDLES TO THE CERTAIN CLASS OF C*-ALGEBRS (1961) (73)
Disjointness of the KMS-states of different temperatures (1970) (68)
Actions of compact abelian groups on semifinite injective factors (1984) (62)
States and automorphism groups of operator algebras (1970) (59)
Duality and von Neumann algebras (1971) (52)
Duality and subgroups, II (1972) (50)
The characteristic square of a factor and the cocycle conjugacy of discrete group actions on factors (1998) (50)
A Characterization of Group Algebras as a Converse of Tannaka-Stinespring-Tatsuuma Duality Theorem (1969) (47)
The Non-commutative Flow of Weights on a Von Neumann Algebra☆☆☆ (2001) (47)
A note on the cross-norm of the direct product of operator algebra (1958) (45)
Local normality in Quantum Statistical Mechanics (1973) (44)
Actions of discrete amenable groups on injective factors of type ${\rm III}_\lambda,\;\lambda\neq 1$. (1989) (44)
The operator equation (1972) (44)
Actions of discrete amenable groups and groupoids on von Neumann algebras (1985) (44)
The structure of a von Neumann algebra with a homogeneous periodic state (1973) (42)
A remark on the expectations of operator algebras (1960) (35)
Compact abelian group actions on injective factors (1992) (30)
A Duality in the Representation Theory of C ∗ -Algebras (1967) (28)
On the singularity of a positive linear functional on operator algebra (1959) (27)
Structure of factors and automorphism groups (1983) (25)
ON THE DIRECT PRODUCT OF W*-FACTORS (1958) (24)
Introduction to the flow of weights on factors of type III (1978) (23)
The topological structure of the unitary and automorphism groups of a factor (1993) (21)
A COMPLEMENT TO "ON THE UNITARY EQUIVALENCE AMONG THE COMPONENTS OF DECOMPOSITIONS OF REPRESENTATIONS OF INVOLUTIVE BANACH ALGEBRAS AND THE ASSOCIATED DIAGONAL ALGEBRAS" (1963) (20)
Lectures on Operator Algebras (1972) (19)
Algebraic equivalence of locally normal representations (1970) (18)
Approximately Finite Dimensional von Neumann Algebras (2003) (16)
Operator valued weights without structure theory (1999) (16)
States and automorphisms of operator algebras standard representations and the Kubo-Martin-Schwinger boundary condition (1973) (15)
Modular Hilbert algebras (1970) (14)
A generalized commutation relation for the regular representation (1969) (13)
On the Hahn-Banach type theorem and the Jordan decomposition of module linear mapping over some operator algebras (1960) (12)
A liminal crossed product of a uniformly hyperfinite C∗-algebra by a compact Abelian automorphism group (1971) (11)
Errata: ``The flow of weights on factors of type ${\rm III}$'' (1978) (8)
On the non-separability of singular representation of operator algebra (1960) (8)
Shorter Notes: The Operator Equation THT = K (1972) (7)
Group duality and the Kubo-Martin Schwinger condition. II (1979) (7)
Generalized Hilbert algebras (1970) (6)
Group duality and the Kubo-Martin-Schwinger condition (1979) (5)
The Weyl theorem and block decompositions (1989) (5)
Outer actions of a countable discrete amenable group on approximately finite dimensional factors I, General Theory (2003) (5)
FAITHFUL STATES ON A C-ALGEBRA (2012) (5)
Faithful states on a $C^{\ast}$-algebra. (1974) (4)
THE QUOTIENT ALGEBRA OF A FINITE VON NEUMANN ALGEBRA (1971) (4)
Remarks on the reduction theory of von Neumann algebras (1969) (4)
Periodic and homogeneous states on a von Neumann algebra. III (1973) (4)
Loop spaces, cyclic homology and the Chern character (1989) (4)
OUTER ACTIONS OF A DISCRETE AMENABLE GROUP ON APPROXIMATELY FINITE DIMENSIONAL FACTORS I, GENERAL THEORY (2003) (4)
A note on the direct product of operator algebras (1959) (3)
Non-Commutative Ergodic Theory (2003) (3)
An open mapping theorem on homogeneous spaces (1992) (3)
Duality in crossed products and von Neumann algebras of type ${\text{III}}$ (1973) (3)
On some representations of $C^*$-algebras (1963) (3)
The intrinsic invariant of an approximately finite dimensional factor and the cocycle conjugacy of discrete amenable group actions (1995) (2)
Tensor product and direct sum of modular Hilbert algebras (1970) (2)
Fundamentals of Banach Algebras and C*-Algebras (1979) (2)
DUAL SPACES OF TENSOR PRODUCTS C*-ALGERAS (1966) (2)
Ergodic Transformation Groups and the Associated von Neumann Algebras (2003) (2)
Outer actions of a discrete amenable group on approximately finite dimensional factors II, the III$_{\lambda}$-case, $\lambda\neq 0$ (2006) (2)
Non-Commutative Integration (2012) (2)
Action, co-action and duality (1979) (1)
The standard representation of von Neumann algebras (1970) (1)
Outer actions of a discrete amenable group on approximately finite-dimensional factors, III: The type IIIλ case, 0 (2009) (1)
The heat semigroup, derivations and Reynolds' identity (1989) (1)
Asymptotic Galois correspondence for discrete amenable group actions on factors (1992) (1)
Elliptic invariants and operator algebras: toroidal examples (1989) (1)
Structure of a von Neumann Algebra of Type III (2003) (1)
Outer Actions of a Discrete Amenable Group (2009) (1)
The commutation theorem for modular Hilbert algebras (1970) (1)
Non-Commutative Group Duality and the Kubo-Martin-Schwinger Condition (1980) (1)
Memories of Vaughan Jones (2021) (1)
Factors of type III (1977) (1)
The spectral algebra (1970) (1)
On some representation of C*-algebras. (1963) (0)
OUTER ACTIONS OF A DISCRETE AMENABLE GROUP ON APPROXIMATELY FINITE DIMENSIONAL FACTORS (ANALYSIS OF (QUANTUM) GROUP ACTIONS ON OPERATOR ALGEBRAS) (2003) (0)
Operator Algebras and Applications: UK-US Joint Seminar on Operator Algebras Lectures (1989) (0)
The Comparability Theorem for Cyclic Projections (1977) (0)
Modular Automorphism Groups (2003) (0)
Formulation of the modular Hilbert algebra (1970) (0)
Perturbations of actions and co-actions (1979) (0)
Semi-finiteness and the modular automorphism group (1970) (0)
CONVERSE OF TANNAKA-STINESPRING-TATSUUMA (2016) (0)
Remembrances of Edward G. Effros (2020) (0)
Topologies and Density Theorems in Operator Algebras (1979) (0)
Abelian Automorphism Group (2003) (0)
The modular automorphism group and the Kubo-Martin-Schwinger boundary condition (1970) (0)
General Theory of Crossed Products and Duality (1983) (0)
Left Hilbert Algebras (2003) (0)
Elementary properties of crossed products (1979) (0)
Interpolation for multipliers (1989) (0)
The one-parameter automorphisms defined by the modular operator Δ (1970) (0)
Types of von Neumann Algebras and Traces (1979) (0)
Some recent results for the planar Ising model (1989) (0)
Connes’ Theory of Injective Factors and Automorphisms (1983) (0)
The resolvent of the modular operator Δ (1970) (0)
Compact Abelian Automorphism Groups of Injective Semi-Finite Factors (1987) (0)
Outer Actions of a Group on a Factor (2006) (0)
Subfactors of an Approximately Finite Dimensional Factor of Type II 1 (2003) (0)
The modular operator Δ (1970) (0)
DUALITY AND VON ALGEBRAS (2007) (0)
Applications to galois theory (1979) (0)
Relative commutant of crossed products (1979) (0)
UK-US Joint Seminar on Operator Algebras (1989) (0)
Structure of Factors of Type III (1983) (0)
Outer Actions of a Discrete Amenable Group on Approximately Finite Dimensional Factors III, The Type $\text{III}_\lambda$ Case, $\pmb{0<\lambda<1}$, Examples (2009) (0)
Derived link invariants and subfactors (1989) (0)
Structure of Approximately Finite Dimensional Factors (2003) (0)
Integrability and dominance (1979) (0)
Crossed Products and Duality (2003) (0)
NONCOMMUTATIVE INTEGRATION (2012) (0)
Self-adjoint subalgebras of generalized Hilbert algebras (1970) (0)
An index for semigroups of*-endomorphisms ofB(H) (1989) (0)
Tensor Products of Operator Algebras and Direct Integrals (1979) (0)

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What Schools Are Affiliated With Masamichi Takesaki?

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