Professor Information

Liangqing Li

Address	Department of Mathematics, 17 University Ave. Ste 1701 San Juan PR, 00925-2537
Office	NCN II C-117
Hours
Actual Program	MATE 6272 (0U1) LW 1130-1250PM C-209
Telephone	(787) 764-0000 88263
E-Mail	ude.rpu@il.gniqgnail

Education

PhD, University of Toronto, 1995

Research Interests

Análisis Funcional, Álgebras de Operadores.

Selected Publications

1. Liangqing Li, G. Gong, C. Jiang, A classification of inductive limit $C^{*}$-algebras with ideal property, Trans. London Math. Soc. 9 (2022), no. 1, 158--236.
2. Liangqing Li, B. Cui and C. Jiang, Inductive limit of direct sums of simple TAI algebras, J. Topol. Anal. 13 (2021), no. 3, 783-808.
3. Liangqing Li, C. G. Li and I. R. Velázquez, $C^*$ exponential length of commutators unitaries in AH-algebras, J. Noncommut. Geom. 15 (2021), no. 3, 841--887.
4. Liangqing Li, G. Gong, C. Jiang, Hausdorffized algebraic $K_1$ group and invariants for $C^*$-algebras with the ideal property, Ann. K-Theory} 5 (2020), no. 1, 43-78.
5. Liangqing Li, C. Jiang , K. Wang, On the decomposition theorems for $C^*$-algebras, Chinese Ann. Math. Ser. B 41 (2020), no. 6, 829-860.
6. Liangqing Li, G. Gong, C. Jiang and C. Pasnicu. A reduction theorem for AH algebras with the ideal property, International Mathematics Research Notices, IMRN 2018, no. 24, 7606--7641.
7. Li, Liangqing (joint with Gong, Guihua and Elliott, George): On the classification of simple inductive limit C*-algebras. II. The isomorphism theorem. Invent. Math. 168 (2007), no. 2, 249--320.
8. Li, Liangqing: Reduction to dimension two of local spectrum for simple AH algebras. J. Ramanujan Math. Soc. 21 (2006), no. 4, 365--390.
9. Li, Liangqing: Classification of simple C*-algebras: inductive limits of matrix algebras over one-dimensional spaces. J. Funct. Anal. 192 (2002), no. 1, 1--51.
10. Li, Liangqing: Simple inductive limit C*-algebras: spectra and approximations by interval algebras. J. Reine Angew. Math. 507 (1999), 57--79.
11. Li, Liangqing: Classification of simple C*-algebras: inductive limits of matrix algebras over trees. Mem. Amer. Math. Soc. 127 (1997), no. 605, vii+123 pp.

Grants and Awards

1. Scholarly Productivity Award, $5,000, UPR, 2001
2. National Science and Engineering Research Council Postdoctoral Fellowship of Canada, $58,000, 1995
3. NSF DMS 0701150, $195,000, July 2007--June 2010.
4. NFS DMS 0200739, $222,925, June 2002--April 2007.
5. DEPSCoR grant grant No. DAAD19-00-1-0152, $352,500, June 2000 --May 2004
6. NSF Grant DMS 9970840, $130,700, June 1999--May 2002.

Additional Information

Member, Editorial Committee, Communications in Mathematical Research