Examples of non connective C*-algebras

Authors

  • Anna Gąsior Institute of Mathematics, Maria Curie-Skłodowska University, Lublin
  • Andrzej Szczepański Institute of Mathematics, University of Gdańsk, Gdańsk

Keywords:

connective C*-algebras, crystallographic groups, combinatorial and generalized Hantzsche-Wendt groups

Abstract

This paper investigates the problem of the existence and uniqueness of solutions under the generalized self-similar forms to the space-fractional diffusion equation. Therefore, through applying the properties of Schauder's and Banach's fixed point theorems; we establish several results on the global existence and blow-up of generalized self-similar solutions to this equation.

References

Craig, Will, and Peter A. Linnell. "Unique product groups and congruence subgroups." J. Algebra Appl., online, DOI: 10.1142/S0219498822500256.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Dadarlat, Marius. "Group quasi-representations and almost flat bundles." J. Noncommut. Geom. 8, no. 1 (2014): 163-178.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Dadarlat, Marius, and Ulrich Pennig. "Deformations of nilpotent groups and homotopy symmetric C*-algebras." Math. Ann. 367, no. 1-2 (2017): 121-134.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Dadarlat, Marius, and Ulrich Pennig. "Connective C?-algebras." J. Funct. Anal. 272, no. 12 (2017): 4919-4943.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Dadarlat, Marius, and Ulrich Pennig, and Andrew Schneider. "Deformations of wreath products." Bull. Lond. Math. Soc. 49, no. 1 (2017): 23-32.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Dadarlat, Marius, and Ellen Weld. "Connective Bieberbach groups." Internat. J. Math. 31, no. 6 (2020): 2050047, 13 pp.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Gąsior, Anna, and Rafał Lutowski, and Andrzej Szczepanski. "A short note about diffuse Bieberbach groups." J. Algebra 494 (2018): 237-245.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Gardam, Giles. "A countrexample to the unit conjecture for group rings." arXiv: 2102.11818v3.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Szczepański, Andrzej. Geometry of crystallographic groups. Vol. 4 of Algebra and Discrete Mathematics. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd., 2012.
##plugins.generic.googleScholarLinks.settings.viewInGS##

Szczepanski, Andrzej. "Properties of the combinatorial Hantzsche-Wendt groups." arXive:2103.12494.
##plugins.generic.googleScholarLinks.settings.viewInGS##

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Published

2021-07-20

How to Cite

Gąsior, A., & Szczepański, A. (2021). Examples of non connective C*-algebras. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 20, 57–61. Retrieved from https://studmath.uken.krakow.pl/article/view/8491

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