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arXiv · 1802.00701

Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces

Tsuyoshi Kato
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Abstract

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.

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Tsuyoshi Kato. 2018-02-01. Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces. https://arxiv.org/abs/1802.00701

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