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pointers to topological Hermitian K-theory and relation to KR-theory:
Michael C. Crabb, §9 of: $\mathbb{Z}/2$-Homotopy Theory, Lond. Math. Soc. Lecture Notes 44, Cambridge University Press (1980) [ark:/13960/t3jx7bg4w, pdf]
Po Hu, Igor Kriz, Appendix of: Topological Hermitian cobordism, Journal of Homotopy and Related Structures 11 (2016) 173–197 [doi:10.1007/s40062-014-0100-9]
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