Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces
K-Theory and Homology
2019-11-28 v2
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.
Keywords
Cite
@article{arxiv.1802.00701,
title = {Induced map on K theory for certain \Gamma-equivariant maps between Hilbert spaces},
author = {Tsuyoshi Kato},
journal= {arXiv preprint arXiv:1802.00701},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1606.02402