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Results tagged with oa.operator-algebras
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user 39717
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
6
votes
0
answers
497
views
Faithful and weakly-mixing representations of Property (T) groups in relation to left regula...
Is it known that: Any countable Property (T) group (or more generally, a non-amenable group) has a faithful, weakly-mixing representation which is NOT weakly included in its left regular representatio …
- 647
5
votes
0
answers
317
views
Unitary representations of Tarski Monsters and other beasts
Did people study the unitary representations of Tarsky Monsters, for example the ones constructed by Ol'shanskii? Are there any exotic representations, ie. except the ones related to the left regular, …
- 647
3
votes
1
answer
498
views
Is there a link between $H_2(G,\mathbb{Z})$, the Schur Multiplier of a group, and the "other...
The name for the the following 2 mathematical objects:
$$H_2(G,\mathbb{Z})$$ and
$$\{K:G\times G\longrightarrow\mathbb{C}\ |\ \forall T\in B(l^2(G))\text{we have that}~S:G\times G\longrightarrow\ma …
- 647
3
votes
1
answer
165
views
Sets $E$ in $\mathbb{Z}$ such that any $l^2$ function with support on $E$ comes from Fourier...
Are there infinite sets $E\subset\mathbb{Z}$ such that any $f\in l^2(\mathbb{Z})$ with support on $E$ comes from the Fourier transform of a continuous function on $\mathbb{T}$ ? If yes, is there a cha …
- 647