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Indiana University Mathematics Journal


Department of Mathematics


In recent years both topological and algebraic invariants have been associated to group actions on C*-algebras. Principal bundles have been used to describe the topological structure of the spectrum of crossed products [18, 19], and as a result we now know that crossed products of even the very nicest non-commutative algebras can be substantially more complicated than those of commutative algebras [19, 5]. The algebraic approach involves group cohomological invariants, and exploits the associated machinery to classify group actions on C*-algebras; this originated in [2], and has been particularly successful for actions of R and tori ([19; Section 4], [21]). Here we shall look in detail at the relationship between these topological and algebraic invariants, with a view to analyzing the structure of the systems studied in [19; Section 2, 3].



Original Citation

Raeburn, Iain, and Dana P. Williams. “Moore Cohomology, Principal Bundles, and Actions of Groups on c*-Algebras.” Indiana University Mathematics Journal, vol. 40, no. 2, 1991, pp. 707–740.

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