@article{oai:ynu.repo.nii.ac.jp:00006823, author = {Matsumoto, Kengo}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We deform the 3-sphere into non-commutative $c*$-algebras $S_{¥Theta}^{l}$ by continuous functions $¥Theta' s$ . We then prove that the fixed point $C^{*}$-subalgebra of the non-commutative 3-sphere $S_{¥Theta}^{3}$ under the action of the unit circle $S^{1}$ is isomorphic to the $c*$-algebra of all continuous functions on the 2-sphere. This means that the non-commutative 3-spheres have Hopf fibered structures in non-commutative sense.}, pages = {103--111}, title = {NON-COMMUTATIVE THREE DIMENSIONAL SPHERES II : NON-COMMUTATIVE HOPF FIBERING}, volume = {38}, year = {1991} }