K-theory for real C*-algebras and applications

Description:

"This Research Note presents the K-theory and KK-theory for real C*-algebras and shows that these can be successfully applied to solve some topological problems which are not accessible by the tools developed in the complex setting alone." "Included are many explicit computations of real K-group showing the more refined structure of real C*-algebras, or of real forms of complex ones. In special cases the non-stable K-theory is also determined." "The K-theoretical formulation of index theory for real pseudodifferential operators on compact manifolds and of longitudinal index theory on foliations with applications to vanishing theorems is also provided."--BOOK JACKET.

subjects: C*-algebras,  Index theory (Mathematics),  K-theory,  KK-theory,  C algebras