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Results tagged with oa.operator-algebras
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user 21985
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
3
votes
1
answer
191
views
Local cross sections for Unitary group in a hilbert space
Let $U(\mathcal{H})$ be the group of unitary operators on a Hilbert space with the norm topology. Let $H\subset U(\mathcal{H})$ be a closed subgroup.
Under which condidions (on the …
- 2,630
1
vote
1
answer
239
views
Functoriality of the Group-Measure -space construction
Let $G$ be a discrete group. Consider the action of $G$ on itself
a) by left multiplication,
b) by conjugation.
Under which conditions on group homomorphisms is the Group-Meas …
- 2,630
1
vote
0
answers
153
views
Property T Versus Property A
Kazhdan Property T for a locally compact group is defined in terms of the unitary dual. Namely, a group has property $T$ if the identity is an isolated point in the space of u …
- 2,630
2
votes
0
answers
113
views
Induction of group von neumann algebra for group homomorphism with amenable kernel
Let $\alpha:H\to G$ be a group homomorphism betwenn discrete countable groups, and assume that the kernel of $\alpha$ is an amenable group, denoted by $K$. I would like to know refer …
- 2,630
3
votes
Constructing $C^*$-Categories from Groupoids
This has been documented in the literature, see Paul D. Mitchener, C*-categories, Groupoid Actions, Equivariant KK-theory, and the Baum-Connes Conjecture (arXiv:math/0204291)
and works of Mic …
- 2,630
0
votes
Smallest norms on crossed product $C^*$-algebras
The completion with respect to the minimal and maximal norm for the trivial action give reduced and unreduced C* algebra of groups. They are equal for amenable groups, but …
- 2,630
6
votes
Is the crossed product $\mathcal{K} \rtimes G$ a groupoid algebra?
Have you seen Packer-Raeburn Stabilization trick?
Judith A. Packer and Iain Raeburn, On the structure of twisted group $C^*$-algebras, Trans. Amer. Math. Soc. 334 no 2 (1992), 685-718, doi:10.109 …
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