Research Interests

Research Interests

$\bullet$ Operatoralgebren und nichtkommutative Geometrie

Selected Publications

Selected Publications of Prof. Dr. Siegfried Echterhoff

$\bullet$ A. Buss, S. Echterhoff, and R. Willett. Exotic crossed products and the Baum- Connes conjecture. J. Reine Angew. Math., 740:111–159, 2018.

$\bullet$ J. Cuntz, S. Echterhoff, and X. Li. On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup. J. Eur. Math. Soc. (JEMS), 17(3):645–687, 2015.

$\bullet$ J. Cuntz, S. Echterhoff, and X. Li. On the $K$-theory of crossed products by automorphic semigroup actions. Q. J. Math., 64(3):747–784, 2013.

$\bullet$ S. Echterhoff, W. Lück, N. C. Phillips, and S. Walters. The structure of crossed products of irrational rotation algebras by finite subgroups of ${\rm SL}_2(\Bbb Z)$. J. Reine Angew. Math., 639:173–221, 2010.

$\bullet$ S. Echterhoff, S. Kaliszewski, J. Quigg, and I. Raeburn. A categorical approach to imprimitivity theorems for $C^*$-dynamical systems. Mem. Amer. Math. Soc., 180(850):viii+169, 2006.

$\bullet$ J. Chabert, S. Echterhoff, and H. Oyono-Oyono. Going-down functors, the Künneth formula, and the Baum-Connes conjecture. Geom. Funct. Anal., 14(3):491–528, 2004.

$\bullet$ J. Chabert, S. Echterhoff, and R. Nest. The Connes- Kasparov conjecture for almost connected groups and for linear $p$-adic groups. Publ. Math. Inst. Hautes \'Etudes Sci., (97):239–278, 2003.

$\bullet$ J. Chabert and S. Echterhoff. Permanence properties of the Baum- Connes conjecture. Doc. Math., 6:127–183, 2001.

$\bullet$ S. Echterhoff and D. P. Williams. Crossed products by $C_0(X)$-actions. J. Funct. Anal., 158(1):113–151, 1998.

$\bullet$ S. Echterhoff. Crossed products with continuous trace. Mem. Amer. Math. Soc., 123(586):viii+134, 1996.

Current Cluster Publications

Current Cluster Publications of Prof. Dr. Siegfried Echterhoff

$\bullet $ Alcides Buss and Siegfried Echterhoff. A new approach to (exotic) deformation of $\mathrm C^*$-algebras via coactions. arXiv e-prints, May 2023. arXiv:2305.09997.

$\bullet $ Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz, and Shintaro Nishikawa. $\mathrm K$-theory of non-commutative Bernoulli shifts. arXiv e-prints, October 2022. arXiv:2210.09209.

$\bullet $ Siegfried Echterhoff and Mikael Rørdam. Inclusions of $C^*$-algebras arising from fixed-point algebras. arXiv e-prints, August 2021. arXiv:2108.08832.

$\bullet $ Bachir Bekka and Siegfried Echterhoff. On unitary representations of algebraic groups over local fields. Representation Theory, 25:508–526, June 2021. doi:10.1090/ert/574.

$\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Erratum to: "the minimal exact crossed product". Doc. Math., 26:1629–1632, January 2021. doi:10.25537/dm.2021v26.1629-1632.

$\bullet $ Massoud Amini, Siegfried Echterhoff, and Hamed Nikpey. $C^\ast $-operator systems and crossed products. Journal of Mathematical Analysis and Applications, 491(1):124308, November 2020. doi:10.1016/j.jmaa.2020.124308.

$\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. The maximal injective crossed product. Ergodic Theory and Dynamical Systems, 40(11):2995–3014, November 2020. doi:10.1017/etds.2019.25.

$\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Injectivity, crossed products, and amenable group actions. In $K$-theory in algebra, analysis and topology, volume 749 of Contemp. Math., pages 105–137. May 2020. doi:10.1090/conm/749/15069.

$\bullet $ Alcides Buss, Siegfried Echterhoff, and Rufus Willett. Amenability and weak containment for actions of locally compact groups on $C^*$-algebras. arXiv e-prints, March 2020. arXiv:2003.03469.