Completely bounded multilinear maps andC *-algebraic cohomology

Springer Science and Business Media LLC - Tập 90 - Trang 279-296 - 1987
Erik Christensen1, Edward G. Effros2, Allan Sinclair3
1Københavns Universitets Matematiske Institut, Kobenhavn Ø, Denmark
2Mathematics Department, UCLA, Los Angeles, USA
3Department of Mathematics, University of Edinburgh, Edinburgh, Scotland

Tài liệu tham khảo

Arveson, W.: Subalgebras ofC *-algebras. Acta Math.123, 142–224 (1969) Christensen, E.: Extensions of derivations. J Funct. Anal.27, 234–247 (1978) Christensen, E.: Extensions of derivations, II. Math. Scand.50, 111–122 (1982) Christensen, E.: On non self-adjoint representations ofC *-algebras. Am. J. Math.103, 817–833 (1981) Christensen, E., Sinclair, A.: Representations of completely bounded multilinear operators. J. Funct. Anal. (in press) (1987) Day, M.: Normed linear spaces. New York: Academic Press 1962 Effros, E.: Amenability and virtual diagonals for von Neumann algebras. J. Funct. Anal. (in press) (1987) Effros, E., Kishimoto, A.: Module maps and Hochschild-Johnson cohomology. Ind. J. Math. (in press) (1987) Effros, E., Ruan, Z.-J.: On matricially normed spaces. UCLA, Preprint (1986) Greenleaf, F.: Invariant means on topological groups. New York: van Nostrand 1969 Haagerup, U.: Solution of the similarity problem for cyclic representations ofC *-algebras. Ann. Math.118, 215–240 (1983) Hall, M.: The theory of groups. New York: Macmillan 1959 Johnson, B.E., Kadison, R., Ringrose, J.: Cohomology of operator algebras III, reduction to normal cohomology. Bull. Soc. Math. France100, 73–96 (1972) Kadison, R.: On the orthogonalization of operator representations. Am. J. Math.77, 600–621 Kadison, R., Ringrose, J.: Cohomology of operator algebras, I. Type I von Neumann algebras. Acta Math.126, 227–243 (1971) Kadison, R., Ringrose, J.: Cohomology of operator algebras, II. Extending cobounding and the hyperfinite case. Ark. Mat.9, 53–63 (1971) Nakamura, M., Takesaki, M., Umegaki, H.: A remark on the expectation of operator algebras. Kodai Math. Sem. Rep.12, 82–90 (1960) Paulsen, V.: Completely bounded maps onC *-algebras and invariant operator ranges. Proc. Am. Math. Soc.86, 91–96 (1982) Paulsen, V., Smith, R.R.: Multilinear maps and tensør norms on operator systems. Ringrose, J.: Cohomology of operator algebras, in Lectures on Operator Algebras. Lect. Notes Math., Vol. 247, pp. 355–434. Berlin-Heidelberg-New York: Springer 1972 Ringrose, J.: Cohomology theory for operator algebras. Proc. Symp. Math. 38 (1982) Ruan, Z.-J.: Subspaces ofC *-algebras. UCLA, Preprint (1986) Ruan, Z.-J.: Thesis, UCLA, (1986) Wittstock, G.: Ein operatorwertiger Hahn-Banach Satz. J. Funct. Anal.40, 127–150 (1981) Ylinen, K.: Oral communication