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We investigate the rigidity of the    ℓ  p    analog of Roe‐type algebras. In particular, we show that if    p  ∈  [  1  ,  ∞  )  ∖  {  2  }   , then an isometric isomorphism between the    ℓ  p    uniform Roe algebras of two metric spaces with bounded geometry yields a bijective coarse equivalence between the underlying metric spaces, while a stable isometric isomorphism yields a coarse equivalence. We also obtain similar results for other    ℓ  p    Roe‐type algebras. In this paper, we do not assume that the metric spaces have Yu's property A or finite decomposition complexity.

Rigidity of ℓ p Roe‐type algebras