摘要
TheautomorphismgroupoftheToeplitzC^*-algebra,J(C^1),generatedbyToeplitzop-eratorswithC^1-symbolsonDirichletspaceDisdiscussed;theK0,K1-groupsandthefirstcohomologygroupofJ(C^1)arecomputed.Inaddition,theauthorprovesthatthespectraofToeplitzoperatorswithC^1-symbolsarealwaysconnected,anddiscussesthealgebraicprop-ertiesofToeplitzoperators.Inparticular,itisprovedthatthereisnonontrivialselfadjointToeplitzoperatoronDandTψ^*=Tψ^-ifandonlyifTψisascalaroperator.
出版日期
2002年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）
