Kluwer数据库检索方法 kluwer KLUWER ONLINE JOURNALS 巴期刊浏览)巴简单查询)巴复杂查询)巴重新登录)巴帮助 篇目详细内容 篇名: The K K- Product of Unbounded Modlues 刊名:K- Theory ISSN:0920-3036 出版日期:199701 17页到34页共18页 fF4: KUCEROvSKY DAN Universite Paris VI, URA 747, F-75252 Paris, France, e-mail: kucerov&commat: mathp6. jussieu. fr 文摘 We give sufficient conditions for an unbounded module associated with KK (A, c) oduct of unbounded modules associated with KK(A, B) and KK (B, C), extending the work of Baa] and Jul 全文(217K) 版权所有:CAIS管理中心 开始忑 愿8:562 文摘浏览界面
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Kluwer数据库检索方法邮 kluwer 色龟,““的剧心卜川◆曹线·写 ·图B 全文浏览界面 功能鍵 略图 第二页 DANKUCEROVSKY 2. Localized connections Let A, B and C designate o-unital C-aIgebras. We shall briefly summarize the connection approach to calculating Kasparov products [4, 7].KK-theory is defined interms of Hilbert modules and adjointableoperators on Hilbert modules. A Hilbert B-module is a module E with extra structure given by an inner product map .: ExE-+B The algebra of adjointable operators C(E) is defined as in the case of Hilbert space, and the finite rank operators generate an idealKE)Cc(ET usually referred to as the algebra of compact operators. Given Hilbert modules E and Ep, over A and B, with inner products (,)A and (,)B, respectively, and a x-homomorphism o: A-+C(B), there is an inner product Using c to make En into an A-modu le and completing EA OA En with respect to the above inner product, we obtain a Hilbert B-module, EAa&Eg, as a tenso product of the two given modules. Because o isnorm-decreasing, the norm obtained from the inner product is subcross. If the modules are graded, and o is a graded 中H42/18+川1676X2547毫米口H器
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