In recent years several papers appeared dealing with the concept of infinite dimensional homogeneous reductive space modelled on C~*-algebras ([CPR1], [CPR2], [LR], [MR], [M], [Ma], [ARS], [AS1], [AS2], [ACS]). A homogeneous reductive space (abbreviated: HRS) is a differentiable manifold Q and a smooth transitive action of a Banach-Lie group G ( generally the group of invertibles or unitaries of a C~*-algebra) on Q, L: G x Q → Q with the following properties.
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机译：近年来，有几篇论文涉及以C〜*代数（[CPR1]，[CPR2]，[LR]，[MR]，[M]，[Ma]，[ARS ]，[AS1]，[AS2]，[ACS]）。均匀的还原空间（缩写为：HRS）是可微的流形Q和Banach-Lie群G（通常是C〜*代数的可逆群或unit群）在Q，L上的平稳传递作用：G x Q →具有以下属性的Q。
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