Group gradings provide a powerful framework for decomposing algebraic structures into subspaces that are systematically indexed by a group. In the context of Lie algebras, which play a central role in ...

This overview examines the field of sofic groups and operator algebras, an interdisciplinary domain interfacing group theory, functional analysis and mathematical physics. Sofic groups—distinguished ...

Transactions of the American Mathematical Society, Vol. 149, No. 2 (Jun., 1970), pp. 503-537 (35 pages) We construct a general class of Banach algebras which include as special cases the group algebra ...

Let R be an integral domain, K its field of fractions, F a free group. Let I and J be fully invariant (=verbal) ideals of the group algebra KF. We prove that over certain domains the equality IJ ∩ RF ...

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