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On the K-Theory of the Reduced C*-Algebras of GL(n,R) and GL(n,C)
Book Title
Springer Proceedings in Mathematics & Statistics: APPLIED AND COMPUTATIONAL MATRIX ANALYSIS
Year (definitive publication)
2017
Language
English
Country
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Abstract
Using Harish-Chandra’s parameter space, an explicit formula for the K-theory of the reduced C* -algebras of GL(n,C) is obtained, in analogy with the real case GL(n,R) [8]. Applying automorphic induction, an instance of Langlands functoriality principle, we then relate the K-theory of C*_r GL(2n,R) andC*_r GL(n,C).
Acknowledgements
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