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On the K-theory of the reduced C*-algebras of GL(n, ℝ) and GL(n, ℂ)
Springer Proceedings in Mathematics & Statistics
Year (definitive publication)
2015
Language
English
Country
Portugal
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Abstract
Using Harish-Chandra parameter space , an explicit formula for the K-theory of the reduced C∗-algebra 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∗rGL(2n,R) and C∗rGL(n,C).
Acknowledgements
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Keywords
K-theory,GL(n),Functoriality
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