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We prove that all eight KO groups for a real C*-algebra can be constructed from homotopy classes of unitary matrices that respect a variety of symmetries. In this manifestation of the KO groups, all eight boudary maps in the 24-term exact sequences associated to an ideal in a real C*-algebra can be computed as exponential or index maps with formulas that are nearly identical to the complex case. [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]

Abstract: We prove that the united K-theory functor is a surjective functor from the category of real simple separable purely infinite C ∗-algebras to the category of countable acyclic CRT-modules. As a consequence, we show that every complex Kirchberg algebra satisfying the universal coefficient theorem is the complexification of a real -algebra. [Copyright &y& Elsevier]