Topological K-theory of the Classifying Spaces of Cyclic and Dihedral Groups

Year 2013, Volume: 42 Issue: 4 , 381 - 385 , 01.04.2013

Mehmet Kırdar

https://izlik.org/JA28WR96HC

Abstract

We make a little survey and also present some new results on the topological K-theory of the classfying spaces of cyclic and dihedral groups.

Keywords

K-Theory , Representation Theory , Classifying Space

Topological K-theory of the Classifying Spaces of Cyclic and Dihedral Groups

https://izlik.org/JA28WR96HC

Abstract

-

Keywords

-

References

• Diba˘ g, ˙I. J-approximation of Complex Projective Spaces by Lens Spaces, Pacific Journal of Math. 191(2), 223–242, 1999.
• Handel, D. On Products in the Cohomology of the Dihedral Groups, Tˆ ohoku Math. J. 45, 13–42, 1993.
• Imaoka, M. and Sugawara, M. On the K-Ring of the Orbit Manifold S 2k+1 × S l D n by the Dihedral Group D n , Hiroshima Math. 4, 53–70, 1974.
• Kırdar, M. K-rings of the Classifying Space of the Dihedral Groups, preprint. Kırdar, M. KO-Rings of S 2k+1 Z 2 n , K-theory 13(1), 57–59, 1998.
• Kırdar, M. Reduced K-theory Relations of the Hopf Bundle over Lens Spaces, preprint.