nLab Mark Rieffel

Marc A. Rieffel is a Professor of Mathematics at the University of California at Berkeley. Much of his research is in operator algebras, including in the framework of noncommutative geometry. He introduced notions of strong Morita equivalence and of strong deformation quantization.

• personal page at Berkeley (includes links to files of some older papers)

• Lie group convolution algebras as deformation quantizations of linear Poisson structures, Amer. J. of Mathematics 112, No. 4 (Aug., 1990), pp. 657-685, jstor

• Dirac operators for coadjoint orbits of compact Lie groups, Münster J. Math. 2 (2009), 265–297.

• Marc A. Rieffel, Albert Schwarz, Morita equivalence of multidimensional noncommutative tori, Internat. J. Math. 10 (1999), no. 2, 289–299.

• Lawrence G. Brown, Philip Green, Marc A. Rieffel, Stable isomorphism and strong Morita equivalence of $C^\star$-algebras, Pacific J. Math. 71 (1977), no. 2, 349–363,

• Continuous fields of $C^\star$-algebras coming from group cocycles and actions, Math. Ann. 283 (1989), 631-643.

• Morita equivalence for $C^{\star}$-algebras and $W^{\star}$-algebras, J. Pure Appl. Algebra 5 (1974), 51–96, doi

• Induced representations of $C^{\star}$-algebras, Bull. Amer. Math. Soc. 78 (1972), 606–609, link

• Morita equivalence for operator algebras, Proceedings of Symposia in Pure Mathematics 38 (1982) Part I, 285-298, file

category: people