## Non-commutative geometry

#### Location

Cupples I Room 115

#### Start Date

7-22-2016 5:30 PM

#### End Date

22-7-2016 5:50 PM

#### Description

Let $A$ and $B$ be two C$\sp*$-algebras. For any C$\sp*$-subalgebra $D$ of $B$ which is equalizer defined by *-homomorphism $\phi_1$, $\phi_2$ : $B\longright C$ where $C$ is an other C$\sp*$-algebra. $( A, D. B)$ has the slice property if and only if the tensor product spatial $A\otimes D$ is an equalizer defined by the canonical *-homomorphism $id:_A \otimes \phi_1$ and $id_A \otimes \phi_2$.

#### Share

COinS

Jul 22nd, 5:30 PM Jul 22nd, 5:50 PM

The slice property and equalizers of diagrams of C*-algebras.

Cupples I Room 115

Let $A$ and $B$ be two C$\sp*$-algebras. For any C$\sp*$-subalgebra $D$ of $B$ which is equalizer defined by *-homomorphism $\phi_1$, $\phi_2$ : $B\longright C$ where $C$ is an other C$\sp*$-algebra. $( A, D. B)$ has the slice property if and only if the tensor product spatial $A\otimes D$ is an equalizer defined by the canonical *-homomorphism $id:_A \otimes \phi_1$ and $id_A \otimes \phi_2$.