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Efren Ruiz

University of Hawaii Hilo



Leavitt path algebras and graph C*-algebras



October 13, 2010
3:00pm    SEC 204



Abstract
 

In this talk, we show how one can construct algebras from a graph. In particular, we construct the Leavitt path algebra LC(E) and the graph C*-algebra C*(E) for a given graph E. We discuss the following questions due to Abrams and Tomforde:

  1. Does Morita equivalence of LC(E1) and LC(E2) imply that C*(E1) and C*(E2) are strongly Morita equivalent?
  2. Conversely, does strong Morita equivalence of C*(E1) and C*(E2) imply that LC(E1) and LC(E2) are Morita equivalent?







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