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Results tagged with oa.operator-algebras
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user 86526
Algebras of operators on Hilbert space, $C^*-$algebras, von Neumann algebras, non-commutative geometry
1
vote
Homotopy equivalence of Kasparov's $KK$-Theory
It is really the same thing as for ordinary homotopy. Mainly a concatenation.
I will write for a space $X$, $XB$ the algebra of continous functions from $X$ to $B$. All the other notations follow th …
- 659
4
votes
Extension of trace on von Neumann subalgebra
No, if $\Gamma$ is a group without torsion and with the Infinite conjugacy class property then the algebra $L\Gamma$ is a factor of type $II$ and has only one normal tracial state.
Now, let $x $ in $ …
- 659
3
votes
2
answers
151
views
$V(A)$ semi group of equivalent projections in $M_∞(A)$ cancelative?
I found in the book of Murphy, C*- Algebras and Operator Theory, the Theorem 7.1.2 :
Let A be an unital C* algebra, the semi group $V(A)$ of equivalent projections (under Murray Von
Neumann equi …
- 659