MORITA EQUIVALENCE FOR HOMOGENEOUS C*-ALGEBRAS OVER LOWER DIMENSIONAL SPHERES

  • Park, Chun-Gil (Department of Mathematics Chungnam National University)
  • Received : 2006.03.20
  • Published : 2006.06.30

Abstract

All d-homogeneous $C^*$-algebras $T^d$ over $\prod^{s_4}S^4{\times}\prod^{s_2}S^2{\times}\prod^{s_3}S^3{\times}\prod^{s_1}S^1$ are constructed. It is shown that $T^d$ are strongly Morita equivalent to $C(\prod^{s_4}S^4{\times}\prod^{s_2}S^2{\times}\prod^{s_3}S^3{\times}\prod^{s_1}S^1)$.

Keywords