On twisted ad-equivariant K-theory of Lie groups generalized to KR-theory:
Chi-Kwong Fok, The Real K-theory of compact Lie groups, SIGMA 10 (2014), 022, (arXiv:1308.3871, doi:10.3842/SIGMA.2014.022)
Chi-Kwong Fok, Equivariant twisted Real K-theory of compact Lie groups, Journal of Geometry and Physics 124 (2018) 325-349 (arXiv:1503.00957, doi:10.1016/j.geomphys.2017.11.013)
Alex Fok, Equvariant twisted KK-theory of noncompact Lie groups (2022) talk
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