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$\unicode[STIX]{x1D711}$-CONTRACTIBILITY AND 
$\unicode[STIX]{x1D711}$-CONNES AMENABILITY COINCIDE WITH SOME OLDER NOTIONS
It is shown that various definitions of 
$\unicode[STIX]{x1D711}$-Connes amenability and 
$\unicode[STIX]{x1D711}$-contractibility are equivalent to older and simpler concepts.
We consider a natural generalization of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of Morita type. This includes the weakly symmetric algebras of Euclidean type 
n, as studied by Bocian et al., as well as some algebras of dihedral type.
