Self-stabilization in certain infinite-dimensional matrix algebras

Details Self-stabilization in certain infinite-dimensional matrix algebras Self-stabilization in certain infinite-dimensional matrix algebras

2005-06-03

arxiv.org/abs/math/0506059v3

Mathematics

K-Theory and Homology

17 pages

Scientific paper

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.

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