Cohomology for operator algebras: The Mayer-Vietoris sequence Academic Article uri icon


  • For an inclusion BA of operator algebras we introduce the B-nil cohomology groupsHn(A|B), which can be easier to compute than the standard cohomology groupsHn(A). We then develop two long exact sequences, the first linkingHn(A|B),Hn(A) andHn(B), the second corresponding to the Mayer-Vietoris sequence of algebraic topology. These sequences provide powerful computational tools, as illustrated by the examples in the last two sections of the paper. 1997 Academic Press.

published proceedings


author list (cited authors)

  • Gilfeather, F. L., Pop, F., & Smith, R. R.

citation count

  • 0

complete list of authors

  • Gilfeather, FL||Pop, F||Smith, RR

publication date

  • January 1997