This article is cited in 18 papers

On a method for calculating and estimating the global homological dimension of Banach algebras

A. Ya. Helemskii


Abstract: It is proved that the global dimension of a certain class of “near to commutative” $C^*$-algebras and group algebras is not less than two, and there are discussed conditions under which exact equality holds.
Bibliography: 11 titles.

UDC: 513.836

MSC: Primary 18G20; Secondary 46H20

Received: 02.03.1971

 English version: Mathematics of the USSR-Sbornik, 1972, 16:1, 125–138

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