DIAGONALS IN TENSOR PRODUCTS OF OPERATOR ALGEBRAS Conference Paper uri icon

abstract

  • In this paper we give a short, direct proof, using only properties of the Haagerup tensor product, that if an operator algebra A possesses a diagonal in the Haagerup tensor product of A with itself, then A must be isomorphic to a finite-dimensional C*-algebra. Consequently, for operator algebras, the first Hochschild eohomology group H1 (A, X) = 0 for every bounded, Banach A-bimodule X, if and only if A is isomorphic to a finite-dimensional C*-algebra.

author list (cited authors)

  • Paulsen, V. I., & Smith, R. R.

citation count

  • 4

complete list of authors

  • Paulsen, Vern I||Smith, Roger R

publication date

  • October 2002