Research

My research interest concerns the interactions between operator algebras, group theory, and algebraic topology.  More specifically,  I have studied the Baum-Connes assembly map for certain discrete groups involving their K-theory and (Davis-Lück’s picture of) equivariant K-homology. Moreover, I have been working on simplicity and the unique trace property of  group Lp-operator algebras.

Articles

  • K-theory and K-homology of the wreath products of finite with free groups. Illinois J. Math. 63 (2019), no. 2, 317–334, doi, arXiv
    Remark: the title of the article was printed mistakenly as
    “K-theory and K-theory of finite wreath products with free groups”
  • K-theory and K-homology for the lamplighter groups of finite groups. (with A. Valette and R. Flores), Proc. Lond. Math. Soc. (3) 115 (2017), no. 6, 1207-1226. doiarXiv
  • K-theory for the C*-algebras of solvable Baumslag-Solitar groups. (with A. Valette), Glasg. Math. J. 60 (2018), no. 2., 481-486. doiarXiv
  • Simple Lp-operator crossed products with unique trace property. (with S. Hejazian), J. Operator Theory 74 (2015), no. 1., 133-147. doiarXiv

Thesis

  • An explicit approach to the Baum-Connes conjecture for some semi-direct products.
    PhD Thesis
  • Commutators of Operators. (In Persian)
    Master Thesis