Examples of non connective C*-algebras

Anna Gąsior; Andrzej Szczepański

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2021)

  • Volume: 20, page 57-61
  • ISSN: 2300-133X

Abstract

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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.

How to cite

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Anna Gąsior, and Andrzej Szczepański. "Examples of non connective C*-algebras." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 20 (2021): 57-61. <http://eudml.org/doc/296804>.

@article{AnnaGąsior2021,
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.},
author = {Anna Gąsior, Andrzej Szczepański},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {connective C*-algebras; crystallographic groups; combinatorial and generalized Hantzsche-Wendt groups},
language = {eng},
pages = {57-61},
title = {Examples of non connective C*-algebras},
url = {http://eudml.org/doc/296804},
volume = {20},
year = {2021},
}

TY - JOUR
AU - Anna Gąsior
AU - Andrzej Szczepański
TI - Examples of non connective C*-algebras
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2021
VL - 20
SP - 57
EP - 61
AB - 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.
LA - eng
KW - connective C*-algebras; crystallographic groups; combinatorial and generalized Hantzsche-Wendt groups
UR - http://eudml.org/doc/296804
ER -

References

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  1. Craig, Will, and Peter A. Linnell. "Unique product groups and congruence subgroups." J. Algebra Appl., online, DOI: 10.1142/S0219498822500256. 
  2. Dadarlat, Marius. "Group quasi-representations and almost flat bundles." J. Noncommut. Geom. 8, no. 1 (2014): 163-178. 
  3. Dadarlat, Marius, and Ulrich Pennig. "Deformations of nilpotent groups and homotopy symmetric C*-algebras." Math. Ann. 367, no. 1-2 (2017): 121-134. 
  4. Dadarlat, Marius, and Ulrich Pennig. "Connective C?-algebras." J. Funct. Anal. 272, no. 12 (2017): 4919-4943. 
  5. Dadarlat, Marius, and Ulrich Pennig, and Andrew Schneider. "Deformations of wreath products." Bull. Lond. Math. Soc. 49, no. 1 (2017): 23-32. 
  6. Dadarlat, Marius, and Ellen Weld. "Connective Bieberbach groups." Internat. J. Math. 31, no. 6 (2020): 2050047, 13 pp. 
  7. Gąsior, Anna, and Rafał Lutowski, and Andrzej Szczepanski. "A short note about diffuse Bieberbach groups." J. Algebra 494 (2018): 237-245. 
  8. Gardam, Giles. "A countrexample to the unit conjecture for group rings." arXiv: 2102.11818v3. 
  9. Szczepański, Andrzej. Geometry of crystallographic groups. Vol. 4 of Algebra and Discrete Mathematics. Hackensack, NJ: World Scientific Publishing Co. Pte. Ltd., 2012. 
  10. Szczepanski, Andrzej. "Properties of the combinatorial Hantzsche-Wendt groups." arXive:2103.12494. 

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