## Ed Effros: Biography

Ed Effros was born in Queens and grew up in Great Neck, NY. One of his earliest memories was in the 5th grade, when the teacher taught an old trick for checking a long column of addition called “casting out nines”. Ed was mesmerized by this apparent “magic” and from that moment on, his ambition was to become a mathematician.

Ed managed to finish MIT in 3 years, and then earned his PhD at Harvard in 1962 under the direction of George Mackey. After a post-doc at Columbia, he moved to the University of Pennsylvania. In May, 1967, he met Rita on a blind date, and they married 4 months later. It was in Philadelphia that their children, Rachel and Steve, were born and where Ed encouraged Rita to pursue a graduate degree in Immunology at Penn. In 1979, the family relocated to LA, where Ed had been recruited by the UCLA mathematics department, and Rita eventually joined the faculty of the Geffen School of Medicine. Ed retired in 2013 becoming a Distinguished Research Professor Emeritus. In June 2019, Ed and Rita moved to Portland, OR to be closer to their children and grandchildren.

Over the years, Ed and his family have done an amazing amount of travel, both for pleasure and also relating to the fields of math and immunology. They have visited/lived in places all over the world, including Berkeley, Paris, Oslo, Istanbul, Beijing, Hong Kong, Copenhagen, Stockholm, New Zealand, Warwick, Japan, Sicily, Montenegro, Croatia, Italy, Wales, and Israel.

Ed is survived by his wife of 52 years, Rita; daughter, Dr. Rachel Effros; son, Stephen Effros; daughter-in-law, Suzanne Effros; granddaughters, Lila and Eva; brothers, Dr. Richard Effros (wife, Gail) and Robert Effros; numerous nieces, nephews and cousins; and many dear friends.

Ed Effros served as a PhD supervisor for 16 students, and has authored or co-authored over 80 publications, which are listed below.

1962

- Effros, Edward George ON THE REPRESENTATIONS OF C*-ALGEBRAS

1963

- Effros, Edward G. A decomposition theory for representations of $C^{\ast $}-algebras
*Trans. Amer. Math. Soc.*p. 83--106, 1963

- Effros, Edward G. Order ideals in a $C^{\ast $}-algebra and its dual
*Duke Math. J.*p. 391--411, 1963

1965

- Effros, Edward G. Transformation groups and $C^{\ast $}-algebras
*Ann. of Math. (2)*p. 38--55, 1965

- Effros, Edward G. Convergence of closed subsets in a topological space
*Proc. Amer. Math. Soc.*p. 929--931, 1965

- Effros, Edward G. The Borel space of von Neumann algebras on a separable Hilbert space
*Pacific J. Math.*p. 1153--1164, 1965

1966

- Effros, Edward G. Global structure in von Neumann algebras
*Trans. Amer. Math. Soc.*p. 434--454, 1966

1967

- Effros, Edward G. Structure in simplexes
*Acta Math.*p. 103--121, 1967

- Effros, Edward G. and St\o rmer, Erling Jordan algebras of self-adjoint operators
*Trans. Amer. Math. Soc.*p. 313--316, 1967

- Effros, Edward G. Structure in simplexes. II
*J. Functional Analysis*p. 379--391, 1967

- Effros, Edward G. and Hahn, Frank Locally compact transformation groups and $C^{\ast $}- algebras

- Effros, Edward G. and Hahn, Frank Locally compact transformation groups and $C\sp*$-algebras
*Bull. Amer. Math. Soc.*p. 222--226, 1967

1969

- Effros, Edward G. and Gleit, Alan Structure in simplexes. III. Composition series
*Trans. Amer. Math. Soc.*p. 355--379, 1969

1970

- Effros, Edward G. and Kazdan, Jerry L. Applications of Choquet simplexes to elliptic and parabolic boundary value problems
*J. Differential Equations*p. 95--134, 1970

- Effros, Edward G. The canonical measures for a separable $C^{\ast $}-algebra
*Amer. J. Math.*p. 56--60, 1970

1970/71

- Effros, Edward G. and Kazdan, Jerry L. On the Dirichlet problem for the heat equation
*Indiana Univ. Math. J.*p. 683--693, 1970/71

1970

- Aarnes, Johan F. and Effros, Edward G. and Nielsen, Ole A. Locally compact spaces and two classes of $C^{\ast $}-algebras
*Pacific J. Math.*p. 1--16, 1970

1971

- Effros, Edward G. On a class of real Banach spaces
*Israel J. Math.*p. 430--458, 1971

1972

- Alfsen, Erik M. and Effros, Edward G. Structure in real Banach spaces. I, II
*Ann. of Math. (2)*p. 98--128; ibid. (2) 96 (1972), 129--173, 1972

1973

- Cunningham, Jr., F. and Effros, Edward G. and Roy, Nina M. $M$-structure in dual Banach spaces
*Israel J. Math.*p. 304--308, 1973

1974

- Effros, Edward G. On a class of complex Banach spaces
*Illinois J. Math.*p. 48--59, 1974

1975

- Effros, Edward G. Property $\Gamma $ and inner amenability
*Proc. Amer. Math. Soc.*p. 483--486, 1975

1976

- Choi, Man Duen and Effros, Edward G. Separable nuclear $C\sp*$-algebras and injectivity
*Duke Math. J.*p. 309--322, 1976

- Choi, Man Duen and Effros, Edward G. The completely positive lifting problem for $C\sp*$-algebras
*Ann. of Math. (2)*p. 585--609, 1976

1977

- Choi, Man Duen and Effros, Edward G. Nuclear $C\sp*$-algebras and injectivity: the general case
*Indiana Univ. Math. J.*p. 443--446, 1977

- Choi, Man Duen and Effros, Edward G. Injectivity and operator spaces
*J. Functional Analysis*p. 156--209, 1977

- Effros, Edward G. and Lance, E. Christopher Tensor products of operator algebras
*Adv. Math.*p. 1--34, 1977

- Choi, Man Duen and Effros, Edward G. Lifting problems and the cohomology of $C\sp*$-algebras
*Canadian J. Math.*p. 1092--1111, 1977

1978

- Choi, Man Duen and Effros, Edward G. Nuclear $C\sp*$-algebras and the approximation property
*Amer. J. Math.*p. 61--79, 1978

- Effros, Edward G. Aspects of noncommutative order

- Effros, Edward G. and Rosenberg, Jonathan $C^{\ast $}-algebras with approximately inner flip
*Pacific J. Math.*p. 417--443, 1978

- Effros, Edward G. Nuclearity and the $C^{\ast $}-algebraic flip

1979

- Effros, Edward G. and Shen, Chao Liang Dimension groups and finite difference equations
*J. Operator Theory*p. 215--231, 1979

- Effros, Edward G. Aspects of noncommutative geometry

- Effros, Edward G. and St\o rmer, Erling Positive projections and Jordan structure in operator algebras
*Math. Scand.*p. 127--138, 1979

1980

- Effros, Edward G. and Shen, Chao Liang Approximately finite $C^{\ast $}-algebras and continued fractions
*Indiana Univ. Math. J.*p. 191--204, 1980

- Effros, Edward G. and Handelman, David E. and Chao Liang Shen Dimension groups and their affine representations
*Amer. J. Math.*p. 385--407, 1980

1981

- Effros, Edward G. and Shen, Chao Liang The geometry of finite rank dimension groups
*Illinois J. Math.*p. 27--38, 1981

- Effros, Edward G. Polish transformation groups and classification problems

- Effros, Edward G. Dimensions and $C^{\ast $}-algebras

1982

- Effros, Edward G. On the structure theory of $C^{\ast $}-algebras: some old and new problems

1985

- Effros, Edward G. and Haagerup, Uffe Lifting problems and local reflexivity for $C^\ast$-algebras
*Duke Math. J.*p. 103--128, 1985

1986

- Effros, E. G. and Kaminker, J. Homotopy continuity and shape theory for $C^\ast$-algebras

1987

- Effros, Edward G. On multilinear completely bounded module maps

- Effros, Edward G. and Kaminker, Jerome Some homotopy and shape calculations for $C^\ast$-algebras

- Effros, Edward G. and Kishimoto, Akitaka Module maps and Hochschild-Johnson cohomology
*Indiana Univ. Math. J.*p. 257--276, 1987

- Christensen, Erik and Effros, Edward G. and Sinclair, Allan Completely bounded multilinear maps and $C^\ast$-algebraic cohomology
*Invent. Math.*p. 279--296, 1987

- Effros, Edward G. Advances in quantized functional analysis

1988

- Effros, Edward G. and Ruan, Zhong-Jin On matricially normed spaces
*Pacific J. Math.*p. 243--264, 1988

- Effros, Edward G. Amenability and virtual diagonals for von Neumann algebras
*J. Funct. Anal.*p. 137--153, 1988

- Effros, Edward G. and Ruan, Zhong-Jin Representations of operator bimodules and their applications
*J. Operator Theory*p. 137--158, 1988

- Effros, Edward G. and Exel, Ruy On multilinear double commutant theorems

1989

- Effros, Edward G. Why the circle is connected: an introduction to quantized topology
*Math. Intelligencer*p. 27--34, 1989

1990

- Effros, Edward G. and Ruan, Zhong-Jin On nonselfadjoint operator algebras
*Proc. Amer. Math. Soc.*p. 915--922, 1990

- Effros, Edward G. and Ruan, Zhong-Jin On approximation properties for operator spaces
*Internat. J. Math.*p. 163--187, 1990

- Effros, Edward G. and Ruan, Zhong-Jin Multivariable multipliers for groups and their operator algebras

1991

- Effros, Edward G. and Ruan, Zhong-Jin Self-duality for the Haagerup tensor product and Hilbert space factorizations
*J. Funct. Anal.*p. 257--284, 1991

- Effros, Edward G. and Ruan, Zhong-Jin A new approach to operator spaces
*Canad. Math. Bull.*p. 329--337, 1991

- Effros, Edward G. and Ruan, Zhong-Jin Recent developments in operator spaces

1993

- Effros, Edward G. and Ruan, Zhong-Jin On the abstract characterization of operator spaces
*Proc. Amer. Math. Soc.*p. 579--584, 1993

- Effros, Edward G. and Kraus, Jon and Ruan, Zhong-Jin On two quantized tensor products

1994

- Effros, Edward G. and Ruan, Zhong-Jin Mapping spaces and liftings for operator spaces
*Proc. London Math. Soc. (3)*p. 171--197, 1994

- Effros, E. and Ruan, Z.-J. The Grothendieck-Pietsch and Dvoretzky-Rogers theorems for operator spaces
*J. Funct. Anal.*p. 428--450, 1994

- Effros, Edward G. Some quantizations and reflections inspired by the Gel\cprime fand-Na\u\imark theorem

- Effros, Edward G. and Ruan, Zhong-Jin Discrete quantum groups. I. The Haar measure
*Internat. J. Math.*p. 681--723, 1994

1997

- Effros, Edward G. and Winkler, Soren Matrix convexity: operator analogues of the bipolar and Hahn-Banach theorems
*J. Funct. Anal.*p. 117--152, 1997

- Effros, Edward G. and Webster, Corran Operator analogues of locally convex spaces

- Effros, Edward G. and Ruan, Zhong-Jin On the analogues of integral mappings and local reflexivity for operator spaces
*Indiana Univ. Math. J.*p. 1289--1310, 1997

1998

- Effros, Edward G. and Ruan, Zhong-Jin $\scr O\scr L_p$ spaces

- Effros, Edward G. Mathematics as language

2000

- Effros, Edward G. and Junge, Marius and Ruan, Zhong-Jin Integral mappings and the principle of local reflexivity for noncommutative $L^1$-spaces
*Ann. of Math. (2)*p. 59--92, 2000

- Effros, Edward G. and Ruan, Zhong-Jin Operator spaces

2001

- Effros, Edward G. and Ozawa, Narutaka and Ruan, Zhong-Jin On injectivity and nuclearity for operator spaces
*Duke Math. J.*p. 489--521, 2001

2002

- Blecher, David P. and Effros, Edward G. and Zarikian, Vrej One-sided $M$-ideals and multipliers in operator spaces. I
*Pacific J. Math.*p. 287--319, 2002

2003

- Effros, Edward G. and Popa, Mihai Feynman diagrams and Wick products associated with $q$-Fock space
*Proc. Natl. Acad. Sci. USA*p. 8629--8633, 2003

- Effros, Edward G. and Ruan, Zhong-Jin Operator space tensor products and Hopf convolution algebras
*J. Operator Theory*p. 131--156, 2003

2004

- Effros, Edward G. Matrix revolutions: an introduction to quantum variables for young mathematicians
*Math. Intelligencer*p. 53--60, 2004

2006

- Anshelevich, Michael and Effros, Edward G. and Popa, Mihai Zimmermann type cancellation in the free Fa\`a di Bruno algebra
*J. Funct. Anal.*p. 76--104, 2006

2008

- Effros, Edward G. Classifying the unclassifiables

2009

- Effros, Edward G. A matrix convexity approach to some celebrated quantum inequalities
*Proc. Natl. Acad. Sci. USA*p. 1006--1008, 2009

2014

- Effros, Edward and Hansen, Frank Non-commutative perspectives
*Ann. Funct. Anal.*p. 74--79, 2014