Cohomology for Operator Algebras: The Mayer–Vietoris Sequence Academic Article uri icon


  • For an inclusion B⊆A 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.

author list (cited authors)

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

citation count

  • 0

complete list of authors

  • Gilfeather, Frank L||Pop, Florin||Smith, Roger R

publication date

  • August 1997