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Mendes, S. (2017). On the K-Theory of the Reduced C*-Algebras of GL(n,R) and GL(n,C). In Bebiano, Natália (Ed.), Springer Proceedings in Mathematics & Statistics: APPLIED AND COMPUTATIONAL MATRIX ANALYSIS.: Springer Verlag.
S. M. Mendes, "On the K-Theory of the Reduced C*-Algebras of GL(n,R) and GL(n,C)", in Springer Proc. in Mathematics & Statistics: APPLIED AND COMPUTATIONAL MATRIX ANALYSIS, Bebiano, Natália, Ed., Springer Verlag, 2017, vol. 192
@incollection{mendes2017_1775769054928,
author = "Mendes, S.",
title = "On the K-Theory of the Reduced C*-Algebras of GL(n,R) and GL(n,C)",
chapter = "",
booktitle = "Springer Proceedings in Mathematics & Statistics: APPLIED AND COMPUTATIONAL MATRIX ANALYSIS",
year = "2017",
volume = "192",
series = "",
edition = "",
publisher = "Springer Verlag",
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}
TY - CHAP TI - On the K-Theory of the Reduced C*-Algebras of GL(n,R) and GL(n,C) T2 - Springer Proceedings in Mathematics & Statistics: APPLIED AND COMPUTATIONAL MATRIX ANALYSIS VL - 192 AU - Mendes, S. PY - 2017 AB - 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). ER -
English