New York Journal of Mathematics
Volume 12 (2006) 269-273

  

P. J. Stacey

Real structure in unital separable simple C*-algebras with tracial rank zero and with a unique tracial state.


Published: September 7, 2006
Keywords: Real C*-algebras, tracial rank, tracial Rokhlin property, involutory antiautomorphism
Subject: 46L35,46L40,46L05

Abstract
Let A be a simple unital C*-algebra with tracial rank zero and with a unique tracial state and let Φ be an involutory *-antiautomorphism of A. It is shown that the associated real algebra AΦ = {a∈A : Φ(a)=a*} also has tracial rank zero.

Author information

Department of Mathematics, La Trobe University, Victoria 3086, Australia
P.Stacey@latrobe.edu.au