MF-TRACES AND A LOWER BOUND FOR THE TOPOLOGICAL FREE ENTROPY DIMENSION IN UNITAL C*-ALGEBRAS

Academic Article

Abstract

  • We continue previous work on Voiculescu's topological free entropy dimension {\delta}_{top}. We introduce the notions of MF-trace, MF-ideal, and MF-nuclearity and use these concepts to obtain upper and lower bounds for {\delta}_{top}, and in many cases we obtain an exact formula for {\delta}_{top}. We also discuss semicontinuity properties of {\delta}_{top}.

    • Authors

  • Li, Qihui
  • Hadwin, Don
  • Li, Weihua
  • Shen, Junhao

    • Status

    Publication Date

  • 2014

    • Has Subject Area

    Published In

    Keywords

  • C*-algebra
  • MF-trace
  • Topological free entropy dimension
  • free product
  • noncommutative continuous function

    • Digital Object Identifier (doi)

    Start Page

  • 15

    • End Page

  • 44

    • Volume

  • 71

    • Issue

  • 1