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

abstract

  • 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

  • JOURNAL OF FUNCTIONAL ANALYSIS

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