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Self-stabilization in certain infinite-dimensional matrix algebras

Research paper by Gyula Lakos

Indexed on: 14 Feb '12Published on: 14 Feb '12Published in: Mathematics - K-Theory and Homology



Abstract

Analytical tools to $K$-theory; namely, self-stabilization of rapidly decreasing matrices, linearization of cyclic loops, and the contractibility of the pointed stable Toeplitz algebra are discussed in terms of concrete formulas. Adaptation to the *-algebra and finite perturbation categories is also considered. Moreover, the finite linearizability of algebraically finite cyclic loops is demonstrated.