Extensions of Unbounded Representations
Atsushi Inoue, Hideki Kurose, Schôichi Ôta · Mathematische Nachrichten · 1992
Abstract Induced extensions of unbounded (non *‐preserving, in general) representations of a *‐algebra are studied and some elementary facts are shown. For further study of *‐representation of non‐commutative *‐algebra, we introduce twisted extensions of *‐representations as a generalization of induced extensions. And we show that the SCHRÖDINGER representation of a WEYL‐algebra can be realized as a twisted extensions for any its *‐subrepresentation.