Multipliers on matrix ordered operator spaces and some K-groups

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• 作者：Werner ; Wend
• 关键词：46B40 ; 46H25 ; 46L07 ; 46L52 ; 47L05 ; 47L07 ; 47L25 ; 47L50 ; Operator spaces ; Matrix ordering ; Order unit ; Unitization ; Complete positivity ; Multipliers ; C*-envelopes ; K-groups
• 刊名：Journal of Functional Analysis
• 出版年：2004
• 出版时间：January 15, 2004
• 年：2004
• 卷：206
• 期：2
• 页码：356-378
• 全文大小：329 K

文摘

Matrix ordered operator spaces are ‘non-commutative Banach spaces equipped with a non-commutative order’. Examples include C*-algebras as well as their duals. In this article, we define and intrinsically characterize the multiplier algebra for this class of spaces and briefly tackle the problem of extending K-theory to this context.