This article is cited in 10 papers

Representations of Banach algebras and formulas of Hirzebruch type

A. S. Mishchenko, Yu. P. Solov'ev


Abstract: A description of Fredholm representations as a particular case of graded representations is given. For graded representations of Banach algebras Hirzebruch type formulas are deduced by the method of bordism theory and the theory of bundles of algebraic Poincaré complexes.
Bibliography: 13 titles.

UDC: 513.836

MSC: Primary 46H15, 57R20; Secondary 46L05, 18F25

Received: 12.04.1979

 English version: Mathematics of the USSR-Sbornik, 1981, 39:2, 189–205

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