Higher-dimensional virtual diagonals and ideal cohomology for triangular algebras Academic Article uri icon

abstract

  • We investigate the cohomology of non-self-adjoint algebras using virtual diagonals and their higher-dimensional generalizations. We show that infinite dimensional nest algebras always have non-zero second cohomology by showing that they cannot possess 2-virtual diagonals. In the case of the upper triangular atomic nest algebra we exhibit concrete modules for non-vanishing cohomology. ©1997 American Mathematical Society.

author list (cited authors)

  • Paterson, A., & Smith, R. R.

citation count

  • 2

complete list of authors

  • Paterson, Alan||Smith, Roger

publication date

  • January 1997