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Schochetman, I. E.

Generalized group algebras and their bundles. (English) Zbl 0508.46049

Int. J. Math. Math. Sci. 5, 209-256 (1982).
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scan of Zbl 0508.46049

MSC:

46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
22D15 Group algebras of locally compact groups
43A20 \(L^1\)-algebras on groups, semigroups, etc.
46H99 Topological algebras, normed rings and algebras, Banach algebras
46J99 Commutative Banach algebras and commutative topological algebras
55R10 Fiber bundles in algebraic topology

Keywords:

Banach *-algebraic bundles; twisted groups algebras; induced representations of locally compact groups; Banach space of bounded global continuous sections; bilinear bundle morphism; algebraic structure on a Banach bundle; topological semigroup structures; group algebras; measurability considerations; group extension

Citations:

Zbl 0372.22001; Zbl 0407.00001; Zbl 0488.46060
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Full Text: DOI EuDML