Abstract:Let X be a right C*‐module over a unital C*‐algebra A$ {\cal A}$. We study the Hopf fibration of X:
frakturh:XP→P1(X)goodbreak=projective space of0.33emboldX,$$\begin{equation*} \mathfrak {h}: {\bf X} _ {\cal P} \rightarrow P1({\bf X}) = \hbox{projective space of } {\bf X} , \end{equation*}$$where the projective space of X is the set of singly generated orthocomplemented submodules of X, boldXscriptP$ {\bf X} _ {\cal P}$ is the set of elements of X, which generate such submodules, and frakturhfalse(boldxfalse… Show more
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