Lawrence Brown

Professor Emeritus

• 765-49-41930

• MATH 745

lgbrown@purdue.edu

Research Interest(s):

operator algebras, operator theory

PUBLICATIONS LISTED IN MATHSCINET

• [1] Lawrence G. Brown. The Riesz interpolation property for K0(A)K1(A). C. R. Math. Acad. Sci. Soc. R. Can., 27(2):33-40, 2005.
• [2] Lawrence G. Brown and Ngai-Ching Wong. Unbounded disjointness preserving linear functionals. Monatsh. Math., 141(1):21-32, 2004.
• [3] Lawrence G. Brown and Ngai-Ching Wong. On C*-algebras cut down by closed projections: characterizing elements via the extreme boundary. Taiwanese J. Math., 5(2):433-441, 2001.
• [4] Lawrence G. Brown and Gert K. Pedersen. Extremal K-theory and index for C-algebras. K-Theory, 20(3):201-241, 2000. Special issues dedicated to Daniel Quillen on the occasion of his sixtieth birthday, Part III.
• [5] Lawrence G. Brown and Ngai-Ching Wong. Left quotients of C*-algebras. II. Atomic parts of left quotients. J. Operator Theory, 44(1):207-222, 2000.
• [6] Lawrence G. Brown. Continuity of actions of groups and semigroups on Banach spaces. J. London Math. Soc. (2), 62(1):107-116, 2000.
• [7] Lawrence G. Brown and Gert K. Pedersen. Approximation and convex decomposition by extremals in a C -algebra. Math. Scand., 81(1):69-85 (1998), 1997.
• [8] Lawrence G. Brown and Marius Dadarlat. Extensions of C-algebras and quasidiagonality. J. London Math. Soc. (2), 53(3):582-600, 1996.
• [9] Lawrence G. Brown. Homotopy of projection in C*-algebras of stable rank one. Astérisque, (232):115-120, 1995. Recent advances in operator algebras (Orléans, 1992).
• [10] Lawrence G. Brown and Gert K. Pedersen. On the geometry of the unit ball of a C*-algebra. J. Reine Angew. Math., 469:113-147, 1995.
• [11] Lawrence G. Brown, James A. Mingo, and Nien-Tsu Shen. Quasi-multipliers and embeddings of Hilbert C -bimodules. Canad. J. Math., 46(6):1150-1174, 1994.
• [12] Lawrence G. Brown. Traces of commutators of Schatten-von Neumann class operators. J. Reine Angew. Math., 451:171-174, 1994.
• [13] Lawrence G. Brown and Bradley J. Lucier. Best approximations in L1 are near best in Lp,p<1. Proc. Amer. Math. Soc., 120(1):97-100, 1994.
• [14] Lawrence G. Brown. The rectifiable metric on the set of closed subspaces of Hilbert space. Trans. Amer. Math. Soc., 337(1):279-289, 1993.
• [15] Lawrence G. Brown. Complements to various Stone-Weierstrass theorems for C *-algebras and a theorem of Shultz. Comm. Math. Phys., 143(2):405-413, 1992.
• [16] Lawrence G. Brown. Interpolation by projections in C*-algebras of real rank zero. J. Operator Theory, 26(2):383-387, 1991.
• [17] Lawrence G. Brown and Gert K. Pedersen. C*-algebras of real rank zero. J. Funct. Anal., 99(1):131-149, 1991.
• [18] Lawrence G. Brown and Hideki Kosaki. Jensen's inequality in semi-finite von Neumann algebras. J. Operator Theory, 23(1):3-19, 1990.
• [19] Florin Avram and Lawrence Brown. A generalized Hölder inequality and a generalized Szegő theorem. Proc. Amer. Math. Soc., 107(3):687-695, 1989.
• [20] Lawrence G. Brown. Interpolation for multipliers. In Operator algebras and applications, Vol.1, volume 135 of London Math. Soc. Lecture Note Ser., pages 55-59. Cambridge Univ. Press, Cambridge, 1988.
• [21] Lawrence G. Brown. Determination of A from M(A) and related matters. C. R. Math. Rep. Acad. Sci. Canada, 10(6):273-278, 1988.
• [22] Lawrence G. Brown. Semicontinuity and multipliers of C*-algebras. Canad. J. Math., 40(4):865-988, 1988.
• [23] L. G. Brown. Lidski\i's theorem in the type II case. In Geometric methods in operator algebras (Kyoto, 1983), volume 123 of Pitman Res. Notes Math. Ser., pages 1-35. Longman Sci. Tech., Harlow, 1986.
• [24] Lawrence G. Brown and George A. Elliott. Universally weakly inner one-parameter automorphism groups of separable C-algebras. II. Math. Scand., 57(2):281-288, 1985.
• [25] L. G. Brown. The universal coefficient theorem for Ext and quasidiagonality. In Operator algebras and group representations, Vol. I (Neptun, 1980), volume 17 of Monogr. Stud. Math., pages 60-64. Pitman, Boston, MA, 1984.
• [26] Lawrence G. Brown. Classification of operators on finite-dimensional Hilbert spaces, generalized finite Toeplitz matrices, and Szegő polynomials. In Toeplitz centennial (Tel Aviv, 1981), volume 4 of Operator Theory: Adv. Appl., pages 167-174. Birkhäuser, Basel, 1982.
• [27] Lawrence G. Brown and George A. Elliott. Extensions of AF-algebras are determined by K0. C. R. Math. Rep. Acad. Sci. Canada, 4(1):15-19, 1982.
• [28] Lawrence G. Brown and Ciprian Foias. An elementary proof of a theorem of Tacon. Integral Equations Operator Theory, 4(4):596-599, 1981.
• [29] Lawrence G. Brown. Ext of certain free product C -algebras. J. Operator Theory, 6(1):135-141, 1981.
• [30] Lawrence G. Brown, Pierre de la Harpe, and Claude Schochet. Perfection du groupe de Fredholm. C. R. Acad. Sci. Paris Sér. A-B, 290(3):A151-A154, 1980.
• [31] Lawrence G. Brown. Characterizing Ext(X). In K-theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975), pages 10-18. Lecture Notes in Math., Vol. 575. Springer, Berlin, 1977.
• [32] Lawrence G. Brown, Philip Green, and Marc A. Rieffel. Stable isomorphism and strong Morita equivalence of C-algebras. Pacific J. Math., 71(2):349-363, 1977.
• [33] L. G. Brown, R. G. Douglas, and P. A. Fillmore. Extensions of C-algebras and K-homology. Ann. of Math. (2), 105(2):265-324, 1977.
• [34] Lawrence G. Brown. Stable isomorphism of hereditary subalgebras of C-algebras. Pacific J. Math., 71(2):335-348, 1977.
• [35] Lawrence G. Brown. Extensions and the structure of C-algebras. In Symposia Mathematica, Vol. XX (Convegno sulle Algebre C e loro Applicazioni in Fisica Teorica, Convegno sulla Teoria degli Operatori Indice e Teoria K, INDAM, Rome, 1975), pages 539-566. Academic Press, London, 1976.
• [36] L. G. Brown and Claude Schochet. K1 of the compact operators is zero. Proc. Amer. Math. Soc., 59(1):119-122, 1976.
• [37] Lawrence G. Brown. Operator algebras and algebraic K-theory. Bull. Amer. Math. Soc., 81(6):1119-1121, 1975.
• [38] Lawrence G. Brown. The determinant invariant for operators with trace class self commutators. In Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973), pages 210-228. Lecture Notes in Math., Vol. 345, Berlin, 1973. Springer.
• [39] L. G. Brown, R. G. Douglas, and P. A. Fillmore. Unitary equivalence modulo the compact operators and extensions of C -algebras. In Proceedings of a Conference on Operator Theory (Dalhousie Univ., Halifax, N.S., 1973), pages 58-128. Lecture Notes in Math., Vol. 345, Berlin, 1973. Springer.
• [40] L. G. Brown, R. G. Douglas, and P. A. Fillmore. Extensions of C -algebras, operators with compact self-commutators, and K-homology. Bull. Amer. Math. Soc., 79:973-978, 1973.
• [41] Lawrence G. Brown. Almost every proper isometry is a shift. Indiana Univ. Math. J., 23:429-431, 1973/74.
• [42] Lawrence G. Brown. Topologically complete groups. Proc. Amer. Math. Soc., 35:593-600, 1972.
• [43] Lawrence G. Brown. Baire functions and extreme points. Amer. Math. Monthly, 79:1016-1020, 1972.
• [44] Lawrence G. Brown. Locally compact abelian groups with trivial multiplier group. J. Functional Analysis, 7:132-139, 1971.
• [45] Lawrence G. Brown. Note on the open mapping theorem. Pacific J. Math., 38:25-28, 1971.
• [46] Lawrence G. Brown. Extensions of topological groups. Pacific J. Math., 39:71-78, 1971.