@article { author = {Choiy, K. and Goldberg, D.}, title = {Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups}, journal = {Bulletin of the Iranian Mathematical Society}, volume = {43}, number = {Issue 4 (Special Issue)}, pages = {117-141}, year = {2017}, publisher = {Iranian Mathematical Society (IMS)}, issn = {1017-060X}, eissn = {1735-8515}, doi = {}, abstract = {‎We study $R$-groups for $p$-adic inner forms of quasi-split special unitary groups‎. ‎We prove Arthur's conjecture‎, ‎the isomorphism between the Knapp-Stein $R$-group and the Langlands-Arthur $R$-group‎, ‎for quasi-split special unitary groups and their inner forms‎. ‎Furthermore‎, ‎we investigate the invariance of the Knapp-Stein $R$-group within $L$-packets and between inner forms‎. ‎This work is applied to transferring known results in the second-named author's earlier work for quasi-split special unitary groups to their non-quasi-split inner forms‎.}, keywords = {Invariance of Knapp-Stein $R$-groups‎,‎tempered spectrum‎,‎Arthur's conjecture on $R$-groups‎,‎$p$-adic inner forms of special unitary groups‎}, url = {http://bims.iranjournals.ir/article_1158.html}, eprint = {http://bims.iranjournals.ir/article_1158_ff31f1d8a7233fa392cb8d59cfc94784.pdf} }