• C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type 

      Li, Xin; Omland, Tron; Spielberg, Jack (Communications in Mathematical Physics;volume 381, issue 3, Peer reviewed; Journal article, 2020-05-23)
      WestudyC*-algebrasgeneratedbyleftregularrepresentationsofrightLCM one-relator monoids and Artin–Tits monoids of finite type. We obtain structural results concerning nuclearity, ideal structure and pure infiniteness. Moreover, ...
    • Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations 

      De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars; Yamashita, Makoto (Communications in Mathematical Physics;May 2019, Volume 367, Issue 3, Journal article; Peer reviewed, 2018-11-06)
      Let u be a compact semisimple Lie algebra, and σ be a Lie algebra involution of u. Let Repq(u) be the ribbon braided tensor C∗-category of admissible Uq(u)-representations for 0 < q < 1. We introduce three module C∗-categories ...