A C-star algebra is called a uniformaly hyperfinite algebra or a Glimm algbebra (after Glimm) if it arises as the sequential colimit of an increasing sequence of type In-algebras (finite matrix algebras), hence if it is the norm-closure of the union$\cup_{i \in \mathbb{N}} A_i$ of a sequence $A_0 \hookrightarrow A_1 \hookrightarrow \cdots$ of an increasing sequence of $I_{n_i}$-factors.