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We introduce a real C*-algebra C*R(E;γ ) associated to a graph E with an involution γ. In the case that is the identity, this 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; γ). We present several examples, some that we analyze directly and others that we analyze by combining K-theory computations with classification theorems. [ABSTRACT FROM AUTHOR]

Let A be a uniformly hyperfinite C*-algebra with infinitely many 2 × 2 matrix factors. It is shown that, up to conjugacy, there is a unique antisymmetry (involutory 8-antiautomorphism) of A. [ABSTRACT FROM AUTHOR]