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Assembly maps with coefficients in topological algebras and the integral K-theoretic Novikov conjecture
topological algebras the integral K-theoretic Novikov conjecture K-Theory and Homology Algebraic Topology
2011/9/2
Abstract: We prove that any countable discrete and torsion free subgroup of a general linear group over an arbitrary field or a similar subgroup of an almost connected Lie group satisfies the integral...
Topological algebras of rapidly decreasing matrices and generalizations
Rapidly decreasing matrix weighted matrix algebra continuous inverse algebra
2011/2/21
It is a folklore fact that the rapidly decreasing matrices of countable size form an associative topological algebra whose set of quasi-invertible elements is open, and such that the quasi-inversion m...
Traces of Maximal Ideals of Topological Algebras in Their Subalgebras
Topological algebras Gelfand-Mazur algebras locally pseudoconvex algebras galbed algebras traces of ideals in subalgebras
2010/2/26
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) id...
Ideal Theory in Topological Algebras
Left right or two-sidedness commutativity almost commutativity aits alits arits amits almits armits topological algebra simplicial algebra advertive or invertive algebra
2010/2/26
Given a simplicial topologically non radical algebra A, we characterize its topological radical, radA. If furthermore A is advertive, then radA coincides with the Jacobson radical RadA. On the other h...