Bibliographic Details
| Title: |
Nijenhuis operators on homogeneous spaces related to C∗-algebras. |
| Authors: |
Goliński, Tomasz1 (AUTHOR) tomaszg@math.uwb.edu.pl, Larotonda, Gabriel2 (AUTHOR) glaroton@dm.uba.ar, Tumpach, Alice Barbora3 (AUTHOR) barbara.tumpach@math.cnrs.fr |
| Source: |
International Journal of Geometric Methods in Modern Physics. May2026, Vol. 23 Issue 6, p1-19. 19p. |
| Subjects: |
Homogeneous spaces, C*-algebras, Vector bundles, Lie groups, Toeplitz matrices |
| Abstract: |
For a unital non-simple C ∗ -algebra , we consider its Banach–Lie group G of invertible elements. For a given closed ideal in , we consider the embedded Banach–Lie subgroup K of G of elements differing from the unit element by an element in . We study Banach vector bundle maps of the tangent space of the homogeneous space G / K , induced by an admissible bounded operator on . In particular, we discuss when this Banach vector bundle map is a Nijenhuis operator in G / K. The special case of almost complex structures in G / K is also addressed. Examples for particular classes of C ∗ -algebras are presented, including the Toeplitz algebra and crossed products by ℤ. [ABSTRACT FROM AUTHOR] |
|
Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
