The Real C*-Algebra Of A Graph With Involution

We introduce a real C*-algebra C*(R)(E; gamma) associated to a graph E with an involution gamma. In the case that gamma is the identity, this gamma algebra is isomorphic to the real graph algebra C*(R) (E) studied in [5]. By allowing nontrivial involutions we obtain much larger class of real C*-algebras. We develop some basic theory, and we prove a Pimsner-Voiculescu type long exact sequence for the real K-theory of C*(R)(E; gamma). We present several examples, some that we analyze directly and others that we analyze by combining K-theory computations with classification theorems.