All Questions
4 questions with no upvoted or accepted answers
9
votes
0
answers
230
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Using Property (T) to approximate invertible matrices
In the wikipedia article for Kazhdan's Property (T), there's an intriguing application:
Similarly, groups with property (T) can be used to construct finite sets of invertible matrices which can ...
4
votes
0
answers
187
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Gaussian actions with no Bernoulli part
In an unrelated research project I came upon an example of a mixing unitary representation $\pi: \mathbb{F}_{\infty}\to B(\mathsf{H})$ of the free group on infinitely many generators, such that no ...
3
votes
0
answers
205
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Status of RFD groups and $C^*$-algebras
Motivated by this question and its great answers, I become very curious to know what do we know about RFD (residually finite dimensional) groups and $C^*$-algebras, e.g. do we know how these ...
2
votes
0
answers
201
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An example of non trivial projections in a group von Neumann algebra
Let $G$ and $\text{vN}(G)$ be a torsion free group and its group von Neumann algebra. Is there a characterization of non trivial projections in $\text{vN}(G)$? If not, is a certain class of them ...