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1. K-theory for real C*-algebras via unitary elements with symmetries.

Author

Boersema, Jeffrey L. and Loring, Terry A.

Subjects
*K-theory, *MATHEMATICAL symmetry, *UNITARY groups, *EXPONENTIAL functions
Abstract

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]

Published
2016

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