Nadia S. Larsen

I am an operator algebraist with somewhat broad interests, thus I have also worked on problems originating in signal processing (wavelet theory) and in number theory. My current research interests include questions about C*-algebras associated to semigroups, equilibrium (KMS) states, higher rank graphs, Hecke algebras.
Qualifications
MSc in Mathematics 1994, University of Copenhagen, Denmark
PhD in Mathematics in 2000, University of Copenhagen, Denmark
Previous positions
Research Assistant Professor, University of Copenhagen, Denmark
Postdoc, University of Oslo
Associate Professor, University of Oslo
Appointments
Deputy Head of Department
Board member, BigInsight
Board member, Norwegian Mathematical Society (NMF)
Past appointments
Member of project committee for "Pure Mathematics in Norway"
Editorial boards
London Mathematical Society (Bulletin, Journal)
Publicacions Matemàtiques (UAB)
Links
Publications
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Farsi, Carla; Gillaspy, Elizabeth; Larsen, Nadia S. & Packer, Judith A. (2021). Generalized Gauge Actions on k-graph C∗-Algebras: KMS States and Hausdorff Structure. Indiana University Mathematics Journal. ISSN 0022-2518. 70(2), p. 669–709. doi: 10.1512/IUMJ.2021.70.8340. Full text in Research Archive
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Caspers, Martijn; Klisse, Mario & Larsen, Nadia S. (2021). Graph product Khintchine inequalities and Hecke C∗-algebras: Haagerup inequalities, (non)simplicity, nuclearity and exactness. Journal of Functional Analysis. ISSN 0022-1236. 280(1). doi: 10.1016/j.jfa.2020.108795. Full text in Research Archive
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Brownlowe, Nathan; Larsen, Nadia S.; Ramagge, Jacqui & Stammeier, Nicolai (2020). C*-algebras of right LCM monoids and their equilibrium states. Transactions of the American Mathematical Society. ISSN 0002-9947. 373(7), p. 5235–5273. doi: 10.1090/tran/8097. Full text in Research Archive
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Afsar, Zahra; Larsen, Nadia S. & Neshveyev, Sergey (2020). KMS States on Nica-Toeplitz C∗-algebras. Communications in Mathematical Physics. ISSN 0010-3616. 378(3), p. 1875–1929. doi: 10.1007/s00220-020-03711-6. Full text in Research Archive
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Kwasniewski, Bartosz K. & Larsen, Nadia S. (2019). Nica-Toeplitz algebras associated with right-tensor C*-precategories over right LCM semigroups. International Journal of Mathematics. ISSN 0129-167X. 30(2). doi: 10.1142/S0129167X19500137. Full text in Research Archive
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Laca, Marcelo; Larsen, Nadia S. & Neshveyev, Sergey (2019). Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras. Journal of Geometry and Physics. ISSN 0393-0440. 136, p. 268–283. doi: 10.1016/j.geomphys.2018.09.018. Full text in Research Archive
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Afsar, Zahra; Brownlowe, Nathan; Larsen, Nadia S. & Stammeier, Nicolai (2019). Equilibrium states on right LCM semigroup C*-algebras. International mathematics research notices. ISSN 1073-7928. 2019(6), p. 1642–1698. doi: 10.1093/imrn/rnx162. Full text in Research Archive
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Kwasniewski, Bartosz K. & Larsen, Nadia S. (2018). Nica–Toeplitz algebras associated with product systems over right LCM semigroups. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 470(1), p. 532–570. doi: 10.1016/j.jmaa.2018.10.020. Full text in Research Archive
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Kaliszewski, S; Larsen, Nadia S. & Quigg, John (2018). Subgroup Correspondences. Proceedings of the Edinburgh Mathematical Society. ISSN 0013-0915. 61(4), p. 1127–1154. doi: 10.1017/S0013091518000317. Full text in Research Archive
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Brownlowe, Nathan; Larsen, Nadia S. & Stammeier, Nicolai (2018). C*-Algebras of algebraic dynamical systems and right LCM semigroups. Indiana University Mathematics Journal. ISSN 0022-2518. 67(6), p. 2453–2486. doi: 10.1512/iumj.2018.67.7527. Full text in Research Archive
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Brownlowe, Nathan; Larsen, Nadia S. & Stammeier, Nicolai (2017). On C*-algebras associated to right LCM semigroups. Transactions of the American Mathematical Society. ISSN 0002-9947. 369(1), p. 31–68. doi: 10.1090/tran/6638. Full text in Research Archive
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Carlsen, Toke M. & Larsen, Nadia S. (2016). Partial actions and KMS states on relative graph C*-algebras. Journal of Functional Analysis. ISSN 0022-1236. 271(8), p. 2090–2132. doi: 10.1016/j.jfa.2016.07.001.
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Larsen, Nadia S. & Palma, Rui Miguel Coutinho (2016). Positive definite ∗-spherical functions, property (T) and C∗-completions of Gelfand pairs. Mathematical proceedings of the Cambridge Philosophical Society (Print). ISSN 0305-0041. 160(1), p. 77–93. doi: 10.1017/S0305004115000559.
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Laca, Marcelo; Larsen, Nadia S.; Neshveyev, Sergey; Sims, Aidan & Webster, Samuel B G (2015). Von Neumann algebras of strongly connected higher-rank graphs. Mathematische Annalen. ISSN 0025-5831. 363(1-2), p. 657–678. doi: 10.1007/s00208-015-1187-y.
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Larsen, Nadia S. (2014). On spectral subspaces and inner endomorphisms of some semigroup crossed products. In Bastos, M. Amelia; Lebre, Amarino; Samko, Stefan & Spitkovsky, Ilya M. (Ed.), Operator Theory, Operator Algebras and Applications. Birkhäuser Verlag. ISSN 978-3-0348-0815-6. p. 243–251. doi: 10.1007/978-3-0348-0816-3_14.
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Larsen, Nadia S. & Li, Xin (2013). DILATIONS OF SEMIGROUP CROSSED PRODUCTS AS CROSSED PRODUCTS OF DILATIONS. Proceedings of the American Mathematical Society. ISSN 0002-9939. 141(5), p. 1597–1603. doi: 10.1090/s0002-9939-2013-11475-9.
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Larsen, Nadia S. & Li, Xin (2012). The 2-adic ring C*-algebra of the integers and its representations. Journal of Functional Analysis. ISSN 0022-1236. 262(4), p. 1392–1426. doi: 10.1016/j.jfa.2011.11.008.
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Hong, Jeong Hee; Larsen, Nadia S. & Szymanski, Wojciech (2012). KMS states on Nica-Toeplitz algebras of product systems. International Journal of Mathematics. ISSN 0129-167X. 23(12). doi: 10.1142/S0129167X12501236.
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Kaliszewski, S.; Larsen, Nadia S. & Quigg, John (2012). Inner coactions, Fell bundles, and abstract uniqueness theorems. Münster Journal of Mathematics. ISSN 1867-5778. 5, p. 209–232.
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Carlsen, Toke Meier; Larsen, Nadia S.; Sims, Aidan & Vittadello, Sean (2011). Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems. Proceedings of the London Mathematical Society. ISSN 0024-6115. 103, p. 563–600. doi: 10.1112/plms/pdq028.
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Baggett, Lawrence W.; Larsen, Nadia S.; Packer, Judith A.; Raeburn, Iain & Ramsay, Arlan (2010). Direct limits, multiresolution analyses, and wavelets. Journal of Functional Analysis. ISSN 0022-1236. 258(8), p. 2714–2738. doi: 10.1016/j.jfa.2009.08.011.
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Larsen, Nadia S. (2010). Crossed products by abelian semigroups via transfer operators. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. 30, p. 1147–1164. doi: 10.1017/S0143385709000509.
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Laca, Marcelo; Larsen, Nadia S. & Neshveyev, Sergey (2009). On Bost-Connes type systems for number fields. Journal of Number Theory. ISSN 0022-314X. 129(2), p. 325–338. doi: 10.1016/j.jnt.2008.09.008.
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Landstad, Magnus B. & Larsen, NS (2009). GENERALIZED HECKE ALGEBRAS AND C*-COMPLETIONS. International Journal of Mathematics. ISSN 0129-167X. 20(1), p. 45–76.
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Baggett, LW; Larsen, Nadia S.; Merrill, KD; Packer, JA & Raeburn, Iain (2009). Generalized Multiresolution Analyses with Given Multiplicity Functions. Journal of Fourier Analysis and Applications. ISSN 1069-5869. 15(5), p. 616–633. doi: 10.1007/s00041-008-9031-3.
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Laca, M; Larsen, Nadia S. & Neshveyev, Sergey (2008). Hecke algebras of semidirect products and the finite part of the Connes-Marcolli C*-algebra. Advances in Mathematics. ISSN 0001-8708. 217. doi: 10.1016/j.aim.2007.07.009.
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Laca, Marcelo; Larsen, Nadia S. & Neshveyev, Sergey (2007). Phase transition in the Connes-Marcolli GL2-system. Journal of Noncommutative Geometry. ISSN 1661-6952. 1(4), p. 397–430.
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Larsen, Nadia S. & Raeburn, Iain (2007). Projective multi-resolution analyses arising from direct limits of Hilbert modules. Mathematica Scandinavica. ISSN 0025-5521. 100, p. 317–360.
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Larsen, Nadia S. & Raeburn, Iain (2006). From filters to wavelets via direct limits. In Han, D.; Jorgensen, P. E. T. & Larson, D. R. (Ed.), Operator Theory, Operator Algebras and Applications. American Mathematical Society (AMS). ISSN 978-0-8218-3923-2. p. 35–40.
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Brownlowe, Nathan; Larsen, Nadia S.; Putnam, Ian F. & Raeburn, Iain (2005). Subquotients of Hecke C*-algebras. Ergodic Theory and Dynamical Systems. ISSN 0143-3857. 25(5), p. 1503–1520. doi: 10.1017/S0143385705000143.
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Larsen, Nadia S. & Laca, Marcelo (2005). Errata to "Hecke algebras of semidirect products". Proceedings of the American Mathematical Society. ISSN 0002-9939. 133, p. 1255–1256.
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Larsen, Nadia S. & Laca, Marcelo (2003). Hecke algebras of semidirect products. Proceedings of the American Mathematical Society. ISSN 0002-9939. 131(7), p. 2189–2199.
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Larsen, Nadia S. (2003). Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms. Canadian Mathematical Bulletin (CMB). ISSN 0008-4395. 46, p. 98–112.
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Carlsen, Toke; Larsen, Nadia S.; Neshveyev, Sergey & Skau, Christian Fredrik (2016). Operator Algebras and Applications The Abel Symposium 2015. Springer. ISBN 978-3-319-39284-4. 12(12). 342 p.
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Larsen, Nadia S. (2013). C*-algebras associated to graphs, path spaces and equilibrium states. Show summary
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Larsen, Nadia S. (2013). C*-algebras associated with graphs, path spaces and equilibrium states. Show summary
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Larsen, Nadia S. (2012). Inner coactions on C*-algebras and faithfulness of representations. Show summary
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Larsen, Nadia S. (2011). C*-algebras associated to product systems of C*-correspondences. Show summary
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Larsen, Nadia S. (2011). C*-algebras associated to product systems of C*-correspondences. Show summary
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Larsen, Nadia S. (2009). Co-universal C*-algebras for product systems of Hilbert bimodules. Show summary
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Larsen, Nadia S (2008). Phase-transition in the Bost-Connes C*-dynamical systems from number fields. Show summary
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Larsen, Nadia S (2008). Phase-transition in the Bost-Connes C*-dynamical systems from number fields. Show summary
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Larsen, Nadia S (2006). Hecke algebras and the finite part of the Connes-Marcolli C*-algebra. Show summary
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Larsen, Nadia S (2006). Projective multi-resolution analyses arising from direct limits of Hilbert modules. Show summary
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Larsen, Nadia S. (2005). Crossed products by abelian semigroups via transfer operators.
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Larsen, Nadia S. (2005). Hecke algebras from induced representations and C*-completions. Show summary
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Larsen, Nadia S. (2004). Hecke algebras from induced representations and C*-completions. Show summary
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Larsen, Nadia S. (2004). Crossed products by abelian semigroups via transfer operators.
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Larsen, Nadia S.; Brownlowe, Nathan; Putnam, Ian F. & Raeburn, Iain (2003). Subquotients of Hecke C*-algebras.