International Journal of Theoretical and Applied Mathematics

Volume 7, Issue 2, April 2021

  • Herz-Schur Multipliers of Fell Bundles and the Nuclearity of the Full C*-Algebras

    Weijiao He

    Issue: Volume 7, Issue 2, April 2021
    Pages: 17-29
    Received: 11 January 2021
    Accepted: 18 March 2021
    Published: 7 April 2021
    Abstract: In this paper we develop the notion of Schur multipliers and Herz-Schur multipliers to the context of Fell bundle, as a generalization of the theory of multipliers of locally compact groups and crossed products. We prove a characterization theorem of this generalized Schur multiplier in terms of the representation of Fell bundles. In order to prove... Show More
  • Subsets of Scales in Compositions Constructed by Similarity

    Will Turner

    Issue: Volume 7, Issue 2, April 2021
    Pages: 30-39
    Received: 14 April 2021
    Accepted: 5 May 2021
    Published: 27 May 2021
    Abstract: We present techniques in musical composition based on subsets of scales, built on theoretical notions, together with a number of examples. The techniques we describe are for constructing compositions with reference to memory, via similarity. We begin with some technical elements: after introducing the technique of intersecting accompaniments, we de... Show More