Toeplitz代数的上同调群

On Cohomology Groups of Toeplitz Operator Algebras

本文计算了Hardy空间上符号在H∞或C以及H∞＋C中的Toenlitz代数的上同调群．其结果说明，C*-代数的上同调群比VonNeumann代数的上同调群复杂．

In this paper, it is computed that some cohomology groups of Toeplitzoperator algebras with symbols in H∞, C and H∞ + C. Our results shows thatthe cohomology groups of C*-algebras are more complex than that of Von Neumannalgebras.