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$\unicode[STIX]{x1D711}$-CONTRACTIBILITY AND $\unicode[STIX]{x1D711}$-CONNES AMENABILITY COINCIDE WITH SOME OLDER NOTIONS

Part of: Homological methods Topological algebras, normed rings and algebras, Banach algebras Abstract harmonic analysis

Published online by Cambridge University Press:  30 January 2018

AMIN MAHMOODI Open the ORCID record for AMIN MAHMOODI [Opens in a new window]
AMIN MAHMOODI*
Affiliation:
Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran email [email protected]
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Abstract

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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.

Keywords

𝜑-amenability𝜑-contractibility𝜑-Connes amenability

MSC classification

Primary: 43A07: Means on groups, semigroups, etc.; amenable groups
Secondary: 16E40: (Co)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) 46H25: Normed modules and Banach modules, topological modules (if not placed in or )
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 2 , April 2018 , pp. 274 - 278
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

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