论文标题

BOIDOL组的C* - 代数

The C*-algebra of the Boidol group

论文作者

Lin, Ying-Fen, Ludwig, Jean

论文摘要

Boidol组是最小的非 - * - 常规指数谎言组。它是尺寸4,其谎言代数是据roots 1和-1的真实者的遗体代数的延伸。我们将Boidol组的C*-Algebra描述为在该组频谱上定义的操作员字段的代数。它是唯一一个小于或等于4的可溶解谎言组,其组尚未确定。

The Boidol group is the smallest non-*-regular exponential Lie group. It is of dimension 4 and its Lie algebra is an extension of the Heisenberg Lie algebra by the reals with the roots 1 and -1. We describe the C*-algebra of the Boidol group as an algebra of operator fields defined over the spectrum of the group. It is the only connected solvable Lie group of dimension less than or equal to 4 whose group C*-algebra had not yet been determined.

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