Alcides Buss

Professor of Mathematics
at the Department of Mathematics
of the Federal University of Santa Catarina.
Campus Universitário Trindade
88.040-900 Florianópolis-SC, Brasil
Room: 113
Phone: +55 (48) 3721.6560 ext 4113
Mail: alcides.buss(at)ufsc.br

Teaching (2017.1):

Grupóides, Semigrupos Inversos e suas C*-álgebras

Álgebra Linear


Seminário de C*-Álgebras


Research area: Operator Algebras

Research interests: several aspects of noncommutative dynamical systems, actions of group(oid)s on C*-algebras, Fell bundles, quantum groups, groupoids and (inverse) semigroups.


Papers (in inverse chronological order):

  1. Alcides Buss, Rohit Holkar and Ralf Meyer, A universal property for groupoid C*-algebras. I, preprint.
  2. Alcides Buss and Ralf Meyer, Iterated crossed products for groupoid fibrations, preprint.
  3. Alcides Buss, Ruy Exel and Ralf Meyer, Reduced C*-algebras of Fell bundles over inverse semigroups, preprint, to appear in Israel Journal of Mathematics.
  4. Alcides Buss, Siegfried Echterhoff and Rufus Willett, Exotic Crossed Products, survey paper published as a chapter in Proceedings of The Abel Symposium 2015 - Operator Algebras and Applications.
  5. Alcides Buss and Siegfried Echterhoff, Maximality of dual coactions on sectional C*-algebras of Fell bundles and applications, Studia Mathematica, 229(2015), 233-262 ,
  6. Alcides Buss and Ralf Meyer, Inverse semigroup actions on groupoids, preprint, to appear in Rocky Mountain Journal of Mathematics.
  7. Alcides Buss, Siegfried Echterhoff and Rufus Willett, Exotic crossed products and the Baum-Connes conjecture, Crelles Journal, online version ,
  8. Alcides Buss and Siegfried Echterhoff, Rieffel proper actions, Journal of Operator Theory vol. 75, Issue 1 (2016), 49-73,
  9. Alcides Buss and Siegfried Echterhoff, Weakly proper group actions, Mansfield's imprimitivity and twisted Landstad duality, Trans. Amer. Math. Soc., vol. 368 (2016), 249-280 ,
  10. Alcides Buss and Siegfried Echterhoff, Imprimitivity theorems for weakly proper actions of locally compact groups, Erg. Theory Dyn. Systems., vol. 35, nr. 08 (2015), 2412-2457
  11. Alcides Buss and Ralf Meyer, Crossed products for actions of crossed modules on C*-algebras, preprint, to appear in Journal of Noncommutative Geometry.
  12. Alcides Buss and Siegfried Echterhoff, Universal and exotic generalized fixed-point algebras for weakly proper actions and duality, Indiana Univ. Math. Journal, vol. 63, nr. 6 (2014), 1659-1701 ,
  13. Alcides Buss, Generalized fixed point algebras for coactions of locally compact quantum groups, Münster Journal of Mathematics 6 (2013), 295-341
  14. Alcides Buss and Ruy Exel, Inverse semigroup expansions and their actions on C*-Algebras, Illinois J. Math. 56, Nr 4 (2012), 1001-1343
  15. Alcides Buss, Ruy Exel and Ralf Meyer, Inverse semigroup actions as groupoid actions, Semigroup Forum, vol. 85, 2012, 227-243.
  16. Alcides Buss and Ruy Exel, Twisted actions and regular Fell bundles over inverse semigroups, Proc. London Math. Soc., vol. 103, 2011, 235-270.
  17. Alcides Buss, Integrability of dual coactions on Fell bundle C*-algebras, Bull. Braz. Math. Soc. (N.S.), vol. 41, 2010, nr. 4, 607-641.
  18. Alcides Buss, Ralf Meyer and Chenchang Zhu, A higher category approach to twisted actions on C*-algebras, Proc. Edinb. Math. Soc., vol. 56, 2013, 387-426.
  19. Alcides Buss, Ralf Meyer and Chenchang Zhu, Non-Hausdorff symmetries of C*-algebras, Math. Ann., vol. 352, 2012, nr. 1, 73-97.
  20. Alcides Buss and Ruy Exel, Fell bundles over inverse semigroups and twisted étale groupoids, J. Operator Theory, vol. 67, 2012, 153-205.
  21. Alcides Buss and Ralf Meyer, Square-integrable coactions of locally compact quantum groups, Reports on Mathematical Physics, vol. 63, 2009, nr. 1, 191-224.
  22. Alcides Buss, A generalized Fourier inversion Theorem, Bull. Braz. Math. Soc. (N.S.), vol. 39, 2008, nr. 4, 555-571.
  23. Alcides Buss and Ralf Meyer, Continuous spectral decompositions of abelian group actions on C*-algebras, J. Funct. Anal., vol. 253, 2007, nr. 2, 482-514.

Dissertations:


Short Curriculum Vitae

1979 born in Palhoça (Brazil)

1997--2000 mathematics studies at UFSC (Universidade Federal de Santa Catarina), Florianópolis

2000 Bachelor's degree in mathematics at UFSC, Florianópolis

2001--2002 master studies at UFSC, Florianópolis

2002 master's degree in mathematics at UFSC, Florianópolis (supervisor Ruy Exel)

2003 assistant professor at UFSC, Florianópolis

2004-2007 doctoral studies at WWU (Westfälische Williams Universität), Münster (Germany)

2007 doctoral degree in mathematics at WWU (supervisors Ralf Meyer and Siegfried Echterhoff), Münster

2008 postdoctoral studies at UFSC (with Ruy Exel)

since 2009 adjunct professor at UFSC

2012-2013 postdoctoral sabbatical year at the Work group of Functional Analysis, Operator Algebras and Noncommutative Geometry, Münster


Awards and Honours

1997-2000 Member of PET (Special Programm of Mathematics) at UFSC

2000 Best Student at Federal University of Santa Catarina (UFSC) 1997-2000 having obtained the best grade among all students of mathematics.

2001-2008 Fellowships from several organizations, including CAPES, DAAD and CNPQ (PNPD).

2010 Invited Speaker to participate in the "7th Regional Conference of Young Scientists of TWAS-ROLAC" at the Brazilian Academy of Sciences

since 2012 CNPq research productivity scholarship (Bolsista de Produtividade em Pesquisa CNPq - Nível 2)


Foreign Languages (native Brazilian Portuguese): English and German


Participation in Events