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Results tagged with oa.operator-algebras
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user 173852
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
2
votes
1
answer
444
views
Uniqueness of the direct sum of $C^*$ algebras as quotient of free products
Suppose that you have $A, B$ two unital $C^*$ algebras and let $A \ast B$ the reduced free product (I think that it is the reduced amalgamated product over the common $*$-subalgebra $\mathbb{C} 1$) an …
- 115
2
votes
0
answers
231
views
Reference request: definiitions of exact C* algebra and group C* algebra
I am writing my Ph.D. thesis and I would like to cite the specific papers where the concept of exact $C^*$ algebra and group $C^*$ algebra was defined.
In the book of Brown and Ozawa "$C^*$-algebras a …
- 115
2
votes
1
answer
178
views
About nuclear-by-exact extensions
I know that in general exact-by-exact extensions of $C^*$-algebras need not be exact. Is it true that, if we have a short exact sequence of $C^*$-algebras
$$0 \to I \to A \to B \to 0$$
such that $I$ i …
- 115