$*$-Subvarieties of the Variety Generated by $

[摘要] Let $mathbb{K}$ be a field of characteristic zero, and $*=t$ thetranspose involution for the matrix algebra $M_2 (mathbb{K})$. Let$mathfrak{U}$ be a proper subvariety of the variety of algebras withinvolution generated by $igl( M_2 (mathbb{K}),* igr)$. We definetwo sequences of algebras with involution $mathcal{R}_p$,$mathcal{S}_q$, where $p,q in mathbb{N}$. Then we show that$T_* (mathfrak{U})$ and $T_* (mathcal{R}_p oplus mathcal{S}_q)$are $*$-asymptotically equivalent for suitable $p,q$.

[学科分类] 数学（综合）