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Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces. (arXiv:1802.00701v1 [math.KT])

来源于:arXiv
Higson-Kapsparov-Trout introduced an infinite dimensional Clifford algebra of a Hilbert space, and verified Bott periodicity on K theory. In order 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 HKT Clifford algebra to the induced Clifford algebra. We also compute its K group for some concrete case. 查看全文>>