LABORATORY OF FUNCTIONAL ANALYSIS

1. "Banach algebras associated to twisted étale groupoids: simplicity and pure infiniteness" (with K. Bardadyn and A. McKee)
   submitted ArXiv
2. "Fourier-Stieltjes category for twisted groupoid actions" (with A. Buss, A. McKee, A.Skalski)
   submitted ArXiv
3. "Topologically free actions and ideals in twisted Banach algebra crossed products" (with K. Bardadyn)
   Proceedings of the Royal Society of Edinburgh Section A: Mathematics, First View , pp. 1 - 31
   DOI:10.1017/prm.2024.37 ArXiv
4. "Banach algebras associated to twisted étale groupoids: inverse semigroup disintegration and representations on Lp-spaces" (with K. Bardadyn and A. McKee) submitted ArXiv
5. "Ideal structure and pure infiniteness of inverse semigroup crossed products" (with R. Meyer)
   J. Noncommut. Geom. 17 (2023), no. 3, 999–1043 ArXiv
6. "On C*-algebras associated to transfer operators for countable-to-one maps"
   accepted to IEOT (with K. Bardadyn and A.V. Lebedev) ArXiv
7. "The Haagerup property for twisted groupoid dynamical systems" (with K. Li and A. Skalski)
   J. Funct. Anal. 283 (2022), no. 1, 1-43. ArXiv
8. "Aperiodicity, the almost extension property and uniqueness of pseudo-expectations" (with R. Meyer)
   Int. Math. Res. Not. (2022) no. 18 , 14384-14426 DOI: 10.1093/imrn/rnab098 ArXiv
9. "Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure" (with K. Bardadyn)
   Israel J. Math. 246 (2021), no. 1, 149 - 210. ArXiv
10. "Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness" (with R. Meyer)
    Doc. Math. 26 (2021), 271-335 ArXiv
11. "Noncommutative Cartan C*-subalgebras" (with R. Meyer)
    Trans. Amer. Math. Soc. 373 (2020), no. 12, 8697-8724 ArXiv
12. "Stone duality and quasi-orbit spaces for generalised C*-inclusions" (with R. Meyer)
    Proc. London Math. Soc. 121 (2020), no. 4, 788-827 ArXiv
13. "Variational principles for spectral radius of weighted endomorphisms of C(X,D)" (with A. V. Lebedev)
    Trans. Amer. Math. Soc. 373 (2020), no. 4, 2659-2698 ArXiv
14. "Invitation to Hilbert C*-modules and Morita–Rieffel Equivalence" Geometric Methods in Physics XXXVI, Trends in Mathematics, Birkhauser Verlag, Basel, 2019, pp. 383-388. (PDF)
15. "Topological freeness for C*-correspondences" (with T. M. Carlsen and E. Ortega)
    J. Math. Anal. Appl. 473 (2019), no. 2, 749-785 ArXiv
16. "Nica-Toeplitz algebras associated with product systems over right LCM semigroups" (with N. S. Larsen)
    J. Math. Anal. Appl. 470 (2019), no. 1, 532-570 ArXiv
17. "Nica-Toeplitz algebras associated with right tensor C*-precategories over right LCM semigroups" (with N. S. Larsen)
    Int. J. Math. 30 (2019), no. 2, 1950013 (57 pages) ArXiv
18. "Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles" (with R. Meyer)
    Studia Math. 241 (2018), 257-302. ArXiv
19. "Exel's crossed product and crossed products by completely positive maps"
    Houston J. Math., 43 (2017), 509-567. ArXiv
20. "Pure infiniteness and ideal structure of C*-algebras associated to Fell bundles" (with W. Szymanski)
    J. Math. Anal. Appl. 445 (2017), no. 1, 898-943 ArXiv
21. "Topological aperiodicity for product systems over semigroups of Ore type" (with W. Szymanski)
    J. Funct. Anal. 270 (2016), no. 9, 3453-3504 ArXiv
22. "Crossed products by endomorphisms of C_0(X)-algebras"
    J. Funct. Anal., 270 (2016), 2268-2335. ArXiv
23. "Extensions of C*-dynamical systems to systems with complete transfer operators"
    Math. Notes 98 (2015), no. 3, 419-428. ArXiv
24. "Ideal structure of crossed products by endomorphisms via reversible extensions of C*-dynamical systems"
    Int. J. Math. 26 (2015), no. 3, 1550022 [45 pages]. ArXiv
25. "Crossed products for interactions and graph algebras"
    Integr. Equ. Oper. Theory 80 (2014), no. 3, 415-451 SpringerLink
26. "Topological freeness for Hilbert bimodules"
    Israel J. Math. 199 (2014), no. 2, 641-650 SpringerLink
    
27. "Crossed product of a C*-algebra by a semigroup of interactions"
    Demonstratio Math. 47 (2014), no. 2, 350-370 ArXiv
    
28. "Crossed products by endomorphisms and reduction of relations in relative Cuntz-Pimsner algebras" (with A.V. Lebedev)
    J. Funct. Anal. 264 (2013), no. 8, 1806-1847 ArXiv
    
29. "C*-algebras generalizing both relative Cuntz-Pimsner and Doplicher-Roberts algebras"
    Trans. Amer. Math. Soc. 365 (2013), no. 4, 1809-1873 ArXiv
    
30. "C*-algebras associated with reversible extensions of logistic maps"
    Mat. Sb. 203, No 10 (2012), 1448-1489 ArXiv
    
31. "Uniqueness property for C*-algebras given by relations with circular symmetry"
    Geometric Methods in Physics, XXX Workshop, Białowieża, Poland, June 26- July 2, 2011, Trends in Mathematics , (publ. by) Birkhauser Verlag, Basel, 2012, pp. 303-312. ArXiv
    
32. "On transfer operators for C*-dynamical systems"
    Rocky J. Math. 42, No 3 (2012), 919-938 ArXiv (Pdf)
    
33. "Crossed Product of a C*-algebra by a semigroup of endomorphisms generated by partial isometries" (with A.V. Lebedev)
    Integr. Equ. Oper. Theory 63 (2009), 403-425. ArXiv
    
34. "Reversible extensions of irreversible dynamical systems: C*-method" (with A.V. Lebedev)
    Mat. Sb. 199 (2008), no. 11, 45-74. (Pdf)
    
35. "Inverse limit systems associated with F_2^n zero schwarzian unimodal mappings"
    Bulletin de la Societe des Sciences et des Lettres de Lodz, Vol 55 (2005), pp. 83-109 ArXiv
    
36. "Covariance algebra of a partial dynamical system"
    CEJM, V.3, No 4 (2005), pp. 718-765 ArXiv (Pdf)
    
37. "On trigonometric-like decompositions of functions with respect to the cyclic group of order n" (with A.K. Kwasniewski)
    J. of Applied Analysis vol.8 (2002), no. 1, 111-127. ArXiv
    
38. "On q-difference equations and Z_p-decompositions of exp_q fuction" (with A.K. Kwasniewski)
    Advances in Applied Clifford Algebras, Vol. 11(1) (2001), pp. 39-61 (Pdf)

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