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$\unicode[STIX]{x1D711}$-CONTRACTIBILITY AND 
$\unicode[STIX]{x1D711}$-CONNES AMENABILITY COINCIDE WITH SOME OLDER NOTIONS
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 97 / Issue 2 / April 2018
- Published online by Cambridge University Press:
- 30 January 2018, pp. 274-278
- Print publication:
- April 2018
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- Article
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It is shown that various definitions of
$\unicode[STIX]{x1D711}$-Connes amenability and 
$\unicode[STIX]{x1D711}$-contractibility are equivalent to older and simpler concepts.
Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 3 / October 2015
- Published online by Cambridge University Press:
- 13 February 2015, pp. 739-767
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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.
A residue formula for the fundamental Hochschild class on the Podleś sphere
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- Journal:
- Journal of K-Theory / Volume 12 / Issue 2 / October 2013
- Published online by Cambridge University Press:
- 07 August 2013, pp. 257-271
- Print publication:
- October 2013
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