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Mendes, S. (2015). On the K-theory of the reduced C*-algebras of GL(n, ℝ) and GL(n, ℂ). In Bebiano, N. (Ed.), Springer Proceedings in Mathematics & Statistics. (pp. 93-103). Coimbra, Portugal: Springer.
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, Bebiano, N., Ed., Coimbra, Portugal, Springer, 2015, vol. 192, pp. 93-103
@inproceedings{mendes2015_1732207223905, author = "Mendes, S.", title = "On the K-theory of the reduced C*-algebras of GL(n, ℝ) and GL(n, ℂ)", booktitle = "Springer Proceedings in Mathematics & Statistics", year = "2015", editor = "Bebiano, N.", volume = "192", number = "", series = "", doi = "10.1007/978-3-319-49984-0_6", pages = "93-103", publisher = "Springer", address = "Coimbra, Portugal", organization = "Center for Mathematical Analysis, Geometry and Dynamical Systems / Department of Mathematics, University of Coimbra / International Linear Algebra Society", url = "https://link.springer.com/book/10.1007/978-3-319-49984-0" }
TY - CPAPER TI - On the K-theory of the reduced C*-algebras of GL(n, ℝ) and GL(n, ℂ) T2 - Springer Proceedings in Mathematics & Statistics VL - 192 AU - Mendes, S. PY - 2015 SP - 93-103 DO - 10.1007/978-3-319-49984-0_6 CY - Coimbra, Portugal UR - https://link.springer.com/book/10.1007/978-3-319-49984-0 AB - 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). ER -