摘要
The authors prove that all n-th completely bounded cohomology groups of a nest algebra T(N) acting on a separable Hilbert space are trivial when the coefficients lie in any ultraweakly closed T(N)-bimodule containing the nest algebra. They also prove that Hcb^n(A, M) ≌ Hcb^n(A, M) for all n ≥ 1 and a CSL algebra .A with an ultraweakly closed .A-bimodul.M containing A.
The authors prove that all n-th completely bounded cohomology groups of a nest algebra T(N) acting on a separable Hilbert space are trivial when the coefficients lie in any ultraweakly closed T(N)-bimodule containing the nest algebra. They also prove that Hcb^n(A, M) ≌ Hcb^n(A, M) for all n ≥ 1 and a CSL algebra .A with an ultraweakly closed .A-bimodul.M containing A.
基金
Supported partially by NSF of China (10201007)
National Tianyuan Foundation of China (A0324614)