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Simplicity and Minimality in Crossed Products

Abstract Details

, Bachelor of Science (BS), Ohio University, Mathematics.
In this paper, we go through the steps to define the crossed product, a construction that allows us to consolidate appropriate types of dynamical systems into a C*-algebra. From there, we study how various properties of this constructed crossed product relate to those of the base system. In particular, we show the equivalence of the minimality of a classical dynamical system and the simplicity of the crossed product.
Adam Fuller (Advisor)

Recommended Citations

Citations

  • Morris, J. (n.d.). Simplicity and Minimality in Crossed Products [Undergraduate thesis, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1524746189414807

    APA Style (7th edition)

  • Morris, Jackson. Simplicity and Minimality in Crossed Products. Ohio University, Undergraduate thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1524746189414807.

    MLA Style (8th edition)

  • Morris, Jackson. "Simplicity and Minimality in Crossed Products." Undergraduate thesis, Ohio University. Accessed MAY 06, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=ouhonors1524746189414807

    Chicago Manual of Style (17th edition)