K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups.

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DOI:

https://doi.org/10.4067/S0719-06462012000200010

Abstract

We study K-theory for the C∗ -algebras of all continuous functions on certain homogeneous spaces in the semi-simple connected Lie groups SLn(â„) by the discrete subgroups SLn(ℤ), mainly. As a byproduct, we also consider a certain nilpotent case similarly.

Keywords

C*-algebra , K-theory , homogeneous space , semi-simple Lie group , discrete subgroup
  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.
  • Pages: 183–196
  • Date Published: 2012-06-01
  • Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal

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Published

2012-06-01

How to Cite

[1]
T. Sudo, “K-theory for the C*-algebras of continuous functions on certain homogeneous spaces in semi-simple Lie groups”., CUBO, vol. 14, no. 2, pp. 183–196, Jun. 2012.