The paper constructs L-packets for discrete L-parameters on inner forms of quasi-split disconnected real reductive groups and proves they satisfy endoscopic character identities, establishing the refined local Langlands correspondence.
Kottwitz and Diana Shelstad, On splitting invariants and sign conventions in endoscopic transfer
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On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groups
The paper constructs L-packets for discrete L-parameters on inner forms of quasi-split disconnected real reductive groups and proves they satisfy endoscopic character identities, establishing the refined local Langlands correspondence.