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Results tagged with oa.operator-algebras
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user 83484
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
5
votes
2
answers
235
views
Does a $W^*$ envelope exist?
I know that an operator algebra $A$ has a "minimal" $C^*$-algebra $C$ containing $A$, which is known as the $C^*$ envelope of $A$. The existence of such a minimal $C^*$-algebra generated by $A$ (a min …
- 3,816
5
votes
3
answers
625
views
What is the group of automorphisms of $l^{\infty}$?
What is the group of automorphisms of $l^{\infty}$?
I think it would be the permutations of the integers. Is this right?
- 22.3k
5
votes
1
answer
248
views
$C^{*}$-correspondences viewed as generalized endomorphisms
I've heard that $C^{*}$-correspondences (over a $C^{*}$-algebra) can be viewed as generalized endomorphisms of the algebra. I would like to understand this, and be pointed towards books or papers wher …
- 3,174
2
votes
1
answer
160
views
How do we know the map is $w^{*}$-continuous?
I am reading a paper by David Blecher, which contains the following:
" If $T: Y \to Z$ is a surjective isometric module map between $W^{*}$-modules over $M$, then $T$ is unitary. Also, $T$ is a $w^{* …
- 42.8k