The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators

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• 作者：Guoliang Yu^a ; ^b ; ¹ ; ^{guoliangyu@math.tamu.edu}
• 关键词：Novikov conjecture ; Algebraic K-theory ; Group algebra ; Schatten class operators
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：307
• 期：Complete
• 页码：727-753
• 全文大小：472 K
• 卷排序：307

文摘

In this paper, we prove the algebraic K-theory Novikov conjecture for group algebras over the ring of Schatten class operators. The main technical tool in the proof is an explicit construction of the Connes–Chern character.