【摘 要】
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We outline some recent results about the ideal structure and some additional properties of the multiplier algebras of certain simple C*-algebras.Assume that
【机 构】
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UniversityofCincinnati,USA
【出 处】
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算子代数和调和分析2017年研讨会 (Workshop on Operator Algebras and Harmoni
论文部分内容阅读
We outline some recent results about the ideal structure and some additional properties of the multiplier algebras of certain simple C*-algebras.Assume that A is a simple,σ-unital,non-unital,non-elementary C*-algebra,Imin denotes the intersection of the ideals of M(A)that properly contain A.Then Imin≠A for several categories of C*-algebras,including when A separable.It is natural that the quotient Imin/A is purely infinite and simple whenever Imin≠A.If A has strict comparison of positive element by traces then Imin = Icont,the closure of the linear span of the elements T∈M(A)+such that the evaluation map(T)(t)=(τ)(T)is continuous.However,if Imin≠Icont for certain Villadsen * s AH algebras.
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