NON-COMMUTATIVE THREE DIMENSIONAL SPHERES II : NON-COMMUTATIVE HOPF FIBERING
摘要
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.
引用本文（GB/T 7714）
Kengo Matsumoto. NON-COMMUTATIVE THREE DIMENSIONAL SPHERES II : NON-COMMUTATIVE HOPF FIBERING[J]. Institutional Repositories DataBase (IRDB), 1991.
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