New book:

• Cover
• Operator Algebras and Their Modules - An operator space approach", by David P. Blecher and Christian Le Merdy, Oxford University Press (2004). The book is available on www.amazon.com or at: http://www.oup.co.uk/isbn/0-19-852659-8
  

You may download Chapter 1 of this book at http://www.oup.co.uk/pdf/0-19-852659-8.pdf

• Geometry of the tensor product of C*-algebras, Mathematical Proceedings of the Cambridge Philosophical Society 104 (1988), 119-127.
• Tracially completely bounded multilinear maps on C*-algebras, Journal of the London Mathematical Society 39 (1989), 514-524.
• A characterization of operator algebras (with Z-J. Ruan and A. M. Sinclair), Journal of Functional Analysis 89 (1990), 288-301.
• Invariant subspaces of an operator on L^2(T) composed of a multiplication and a translation (with A. M. Davie,) Journal of Operator Theory 23 (1990), 115-123.
• Tensor products which do not preserve operator algebras, Mathematical Proceedings of the Cambridge Philosophical Society 108 (1990), 395-403.
• Commutativity in operator algebras, Proceedings of the American Mathematical Society 109 (1990), 709-715.
• Tensor products of operator spaces (with V. I. Paulsen), Journal of Functional Analysis 99 (1991), 262-292.
• The standard dual of an operator space, Pacific Journal of Mathematics 153} (1992), 15-30.
• Explicit construction of universal operator algebras and applications to polynomial factorization (with V. I. Paulsen), Proceedings of the American Mathematical Society 112 (1991), 839-850.
• Some applications of a recent characterization of operator algebras, In “Selfadjoint and Nonselfadjoint Operator Algebras and Operator Theory”, Ed. R.S. Doran, Contemporary Mathematics, v. 120 AMS (1991).
• Tensor products of operator spaces II, Canadian Journal of Mathematics 44 (1992), 75-90.
• Generalizing Grothendieck's program, In "Function Spaces", Ed. K. Jarosz, Lecture Notes in Pure and Applied Math. Vol. 136, Marcel Dekker (1992).
• The dual of the Haagerup tensor product (with R. R. Smith), Journal of the London Mathematical Society 45 (1992), 126-144.
• A completely bounded characterization of operator algebras. Math. Annalen 303 (1995), 227-239.
• On quotients of function algebras, and operator algebra structures on l^p. (with C. Le Merdy), J. Operator Theory 34 (1995), 315-346.
• A generalization of Hilbert modules. J. Functional Analysis 136 (1996), 365-421.
• Factorizations in universal operator spaces and algebras. Rocky Mountain Journal of Mathematics 27 (1997), 151-167.
• Continuous functions on compact groups. Proceedings of the American Math. Society 125 (1997), 1177-1185.
• A new approach to C*-modules. Math. Annalen 307 (1997), 253-290.
• On selfdual Hilbert modules in Fields Institute Communications vol. 13, A.M.S (1997).
• Some general theory of operator algebras and their modules,} p.113-144 in "Operator Algebras and Applications", Ed. A. Katavolos, Nato ASI Series, Series C - Vol. 495, Kluwer (1997).
• Morita equivalence of operator algebras and their C*-envelopes, (with P.S. Muhly and Q. Na), Journal of the London Math. Soc. 31 (1999), 581-591.
• Modules over operator algebras and the maximal C*-dilation J. Functional Analysis 169 (1999), 251-288.
• Categories of operator modules - Morita equivalence and projective modules (with P.S. Muhly and V.I. Paulsen). 1998 revision. Memoirs of the American Math. Soc., Vol. 143 No. 681, January 2000.
• On Morita's fundamental theorem for C*-algebras, Math. Scand. 88 (2001), 137-153.
• A Morita theorem for Algebras of Operators on Hilbert Space, Journal of Pure and Applied Algebra 156 (2001), 153-169.
• On function and operator modules, (with C. Le Merdy) Proceedings of the American Math. Soc. 129 (2001), 833-844.
• The Shilov boundary of an operator space, and the characterization theorems, J. Functional Analysis 182 (2001), 280-343.
• Multipliers of operator spaces and the injective envelope, (with V. I. Paulsen) Pacific Journal of Mathematics, 200 ((2001), 1-14.
• Isomorphisms of function modules and generalized approximation in modulus, (with K. Jarosz) Trans. Amer. Math. Soc. 354 (2002), 3663-3701.
• Multipliers and dual operator algebras, J. Functional Analysis 183 (2001), 498-525.
• One-sided M-Ideals and Multipliers in Operator Spaces, I, (with E.G. Effros and V. Zarikian) Pacific Journal of Mathematics 206 (2002), 287-319.
• One-sided ideals and approximate identities in operator algebras, J. Australian Math. Soc. 76 (2004), 425-447.
• Complete isometries - an illustration of noncommutative functional analysis, (with D. Hay) Proceedings of 4th Conference on Function Spaces, Contemp. Math. Vol. 328, AMS (2003).
• The ideal envelope of an operator algebra, (with M. Kaneda) Proc. Amer. Math. Soc. 132 (2004), 2103-2113.
• One-Sided Projections on C*-Algebras, (with R. R. Smith and V. Zarikian) J. of Operator Theory 51 (2004), 201-220.
• Complete isometries into C*-Algebras, (with D. Hay) Preprint (2002).
• Logmodularity and isometries of operator algebras, (with L. Labuschagne) Trans. Amer. Math. Soc. 355 (2002), 1621-1646.
• A double commutant theorem for operator algebras, (with B. Solel) J. of Operator Theory 51 (2004), 435-453.
• Multipliers, C*-modules, and algebraic structure in spaces of Hilbert space operators Multipliers, $C^*$-modules, and algebraic structure in spaces of Hilbert space operators,} ``Operator Algebras, Quantization, and Noncommutative Geometry: A Centennial Celebration Honoring J. von Neumann and M. H. Stone" (2003). Click here
• Multiplier operator algebras and applications, (with V. Zarikian) Proceedings of the National Academy of Sciences of the U.S.A. 101 (2004), 727-731. This can be viewed from this link
• Are operator algebras Banach algebras? In Banach Algebras and Their Applications, Contemporary Mathematics 363, American Mathematical Society, 2004.
• Duality and operator algebras: Automatic weak* continuity and applications (with B. Magajna), J. Functional Analysis 224 (2005), 386-407.
• Duality and operator algebras II: Operator algebras as Banach algebras (with B. Magajna), J. Functional Analysis 226 (2005), 485-493.
• The calculus of one-sided M-ideals and multipliers in operator spaces, (with V. Zarikian), Memoirs Amer. Math. Soc. 842 (2006).
• Ordered C*-modules (with Wend Werner), Proceedings of the London Mathematical Society 92 (2006), 682-712. .
• Characterizations of noncommutative H^\infty (with L. E. Labuschagne), Journal of Integral Equations and Operator Theory 56 (2006), 301-321 .
• A Beurling theorem for noncommutative L^p (with L. E. Labuschagne), Journal of Operator Theory 59 (2008), 29-51.
• Hereditary subalgebras of operator algebras (with D.M. Hay and M. Neal). To appear Journal of Operator Theory.
• Noncommutative function theory and unique extensions (with L. E. Labuschagne), Studia Math. 178 (2007), 177-195.
• Open partial isometries and positivity in operator spaces, (with M. Neal). Studia Math. 182(2007), 227-262.
• Applications of the Fuglede-Kadison determinant: Szego's theorem and outers for noncommutative H^p (with L. E. Labuschagne). To appear, Transactions Amer. Math. Soc.
• Von Neumann algebraic H^p theory (with L. E. Labuschagne), in: Function spaces: 5th Conference on function spaces, Contemp. Math. Vol 435, Amer. Math. Soc (2007).
• Peak tripotents (Preprint).
• Ordered involutive operator spaces (with K. Kirkpatrick, M. Neal, W. Werner), Positivity 11 (2007), 497-510.
• Extensions of operator algebras I and II (Part I, with M. Royce, appeared in J. Math. Analysis and Applns. 339 (2008), 1451--1467. Part II is available on request).
• Positivity in operator algebras and operator spaces. (Chapter in book). p. 27-71 in "Positivity", Trends in Mathematics series, Birkhauser (2007).
• Morita equivalence of dual operator algebras (with U. Kashyap) September 24 Revision, To appear J. Pure and Applied Algebra..
• A characterization and a generalization of W*-modules, (with U. Kashyap), December 07, Submitted.
• Nuclearity-related properties for nonselfadjoint algebras (with B. Duncan), March 08, Submitted.
• Metric characterizations of isometries and of unital operator spaces and systems (with M. Neal), May 08, Submitted.

Again, most of the recent papers may be downloaded from the Los Alamos Preprint Server which may be accessed from the ArXiV site at http://front.math.ucdavis.edu Be warned however that the version that appears there is not the final revised version (even if it says that it is) - see the journal for that.