“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 16693
School of Mathematics
  Title:   Smooth Cohomology For C* -Algebras
  Author(s): 
1.  Massoud Amini
2.  Ahmad Shirinkalam
  Status:   Published
  Journal: Math. Commun.
  Vol.:  26
  Year:  2021
  Pages:   29-40
  Supported by:  IPM
  Abstract:
In this paper, we define a notion of smooth cohomology for C* -algebras which admit a faithful trace. We show that if \A ⊆ B(\h) is a C* -algebra with a faithful normal trace τ on \A , the ultra-weak closure of A , and X is a normal dual operatorial \A -bimodule, then H1s(A,X)=H1(A ,Xτ) , where Xτ is a closed submodule of X that consists of the smooth elements.

Download TeX format
back to top
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
Clients Logo
scroll left or right