Towards a noncommutative Brouwer fixed-point theorem

Author:

Dąbrowski Ludwik

Funder

‘Operator Algebras, Noncommutative Geometry and Applications’

‘HARMONIA’

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference28 articles.

1. Drei Sätze über die n-dimensionale euklidische Sphäre;Borsuk;Fund. Math.,1933

2. Using the Borsuk-Ulam Theorem;Matoušek,2003

3. K.L. Nyman, J.N. Scott, F.E. Su, A Borsuk-Ulam equivalent that directly implies Sperner’s Lemma, http://www.willamette.edu/~knyman/papers/Fan_Sperner.pdf.

4. Borsuk’s antipodal theorem and its generalizations and applications: A survey;Steinlein,1985

5. A Borsuk-Ulam theorem for (Zp)k-actions on products of (mod p) homology spheres;Turygin;Topol. Appl.,2007

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1. Noncommutative Borsuk–Ulam-type conjectures revisited;Journal of Noncommutative Geometry;2021-01-18

2. Invariants in noncommutative dynamics;Journal of Functional Analysis;2019-10

3. Triviality of equivariant maps in crossed products and matrix algebras;The Quarterly Journal of Mathematics;2018-09-28

4. Free actions on C*-algebra suspensions and joins by finite cyclic groups;Indiana University Mathematics Journal;2018

5. Anticommutation in the presentations of theta-deformed spheres;Journal of Mathematical Analysis and Applications;2017-01

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