希尔伯特空间间一类Γ-等变映射的K理论诱导映射
Induced map on K theory for certain Γ-equivariant maps between Hilbert spaces
摘要：
Higson-Kapsparov-Trout引入了希尔伯特空间的无限维Clifford代数，并在K-理论上证明了博特周期性.为了研究希尔伯特空间之间映射的代数拓扑，本文引入了诱导Hilbert Clifford代数，并构造了Higson-Kasparov-Trout Clifford代数的K-理论与诱导Clifford代数之间的诱导映射.我们还计算了它的K-群。
英文摘要：
Higson-Kapsparov-Trout introduced an infinite-dimensional Clifford algebra of a Hilbert space, and verified Bott periodicity on K-theory. To develop algebraic topology of maps between Hilbert spaces, in this paper we introduce an induced Hilbert Clifford algebra, and construct an induced map between K-theory of the Higson-Kasparov-Trout Clifford algebra and the induced Clifford algebra. We also compute its K-group for some concrete case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
