Antony John Wassermann (born 1957) is a British mathematician working in operator algebras. He is known for his works on conformal field theory (providing several series of subfactors), the actions of compact groups on von Neumann algebras, and his proof of the BaumâÂÂConnes conjecture for connected reductive linear Lie groups.
Biography
Wassermann was born in 1957. He is the son of the quantum physicist Gerhard Dietrich Wassermann and the brother of the mathematician Alexander Simon Wassermann. He earned his Ph.D. from the University of Pennsylvania in 1981 under the supervision of Jonathan Rosenberg. His doctoral dissertation was titled, "Automorphic actions of compact groups on operator algebras". Afterwards, he was Directeur de Recherches CNRS at Aix-Marseille University from 1999 to 2013.
Honours
Selected bibliography
- Operator algebras and conformal field theory. III. Fusion of positive energy representations of LSU(N) using bounded operators. Invent. Math. 133, no. 3, 467âÂÂ538, 1998. MR1645078
- Operator algebras and conformal field theory. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 966âÂÂ979, Birkhäuser, Basel, 1995. MR1403996
- Ergodic actions of compact groups on operator algebras. I. General theory. Ann. of Math. (2) 130, no. 2, 273âÂÂ319, 1989. MR1014926
- Ergodic actions of compact groups on operator algebras. III. Classification for SU(2). Invent. Math. 93, no. 2, 309âÂÂ354, 1988. MR948104
- Une démonstration de la conjecture de ConnesâÂÂKasparov pour les groupes de Lie linéaires connexes réductifs [A proof of the ConnesâÂÂKasparov conjecture for connected reductive linear Lie groups], C. R. Acad. Sci. Paris Sér. I Math. 304, no. 18, 559âÂÂ562, 1987. MR894996
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