English

Self-stabilization in certain infinite-dimensional matrix algebras

K-Theory and Homology 2013-05-31 v3

Abstract

Analytical tools to KK-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.

Keywords

Cite

@article{arxiv.math/0506059,
  title  = {Self-stabilization in certain infinite-dimensional matrix algebras},
  author = {Gyula Lakos},
  journal= {arXiv preprint arXiv:math/0506059},
  year   = {2013}
}

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17 pages