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» Berndt Brenken
Berndt Brenken
Professor
Pure Mathematics
+1 (403) 220-3948
MS 440
bbrenken@ucalgary.ca
Office Hours
By appointment
Research Interests
Analysis:
C*-dynamical systems
General:
Representation of C* - algebras
Non-commutative tori and solenoids
Endomorphisms of type I algebras
K-theory
Group C*-algebras
Currently Teaching
W2013 - AMAT 601.27 - Topics in Applied Mathematics
Details
LEC 2
MWF 10:00 - 10:50
MS 365
W2013 - MATH 445 - Analysis II
Details
LEC 1
TR 11:00 - 12:15
MS 431
W2013 - MATH 447 - Honours Analysis II
Details
LEC 1
TR 11:00 - 12:15
MS 431
view past courses
Publications
Book
Brenken, Berndt
, Cuntz, Joachim , Elliott, George A. and Nest, Ryszard
.
On the classification of noncommutative tori. {III}
62. Amer. Math. Soc., 1987. 503-526.
Journal Paper
Brenken, Berndt
.
Topological quivers as multiplicity free relations
(to appear)
Brenken, Berndt
.
The isolated ideal of a correspondence associated with a topological quiver
12.2006 2006. 47-62.
Brenken, Berndt
.
{$C\sp *$}-algebras associated with topological relations
19.1 2004. 35-55.
Brenken, Berndt
.
Endomorphisms of type {I} von {N}eumann algebras with discrete center
51.1 2004. 19-34.
Brenken, Berndt
.
{$C\sp *$}-algebras of infinite graphs and {C}untz-{K}rieger algebras
45.3 2002. 321-336.
Brenken, Berndt
.
$Csp *$-algebras of infinite graphs and Cuntz-Krieger algebras
45.3 2002. 321-336.
Brenken, Berndt
.
Cuntz-{K}rieger algebras and endomorphisms of finite direct sums of type {${\rm I}\sb \infty$} factors
353.10 2001. 3835-3873 (electronic).
Brenken, Berndt
.
Hecke algebras and semigroup crossed product algebras
187.2 (to appear) 241-262.
Brenken, Berndt
.
Hecke algebras and semigroup crossed product {$C\sp *$}-algebras
187.2 1999. 241-262.
Brenken, Berndt
.
The local product structure of expansive automorphisms of solenoids and their associated {$C\sp \ast$}-algebras
48.4 1996. 692-709.
Brenken, Berndt
.
{$K$}-groups of solenoidal algebras. {I}
123.5 1995. 1457-1464.
Brenken, Berndt
.
Isomorphism classes of solenoidal algebras. {I}
36.4 1993. 414-418.
Brenken, Berndt
and Jorgensen, Palle E. T.
.
A family of dilation crossed product algebras
25.2 1991. 299-308.
Brenken, Berndt
.
Classification of skew symmetric matrices
108.1 1990. 163-169.
Brenken, Berndt
.
A classification of some noncommutative tori
20.2 1990. 389-397.
Brenken, Berndt
.
Norm limits of finite direct sums of {$I\sb \infty$} factors
15.1 1986. 3-13.
Brenken, Berndt
.
Approximately inner automorphisms of the irrational rotation algebra
7.6 1985. 363-368.
Brenken, Berndt
.
Representations and automorphisms of the irrational rotation algebra
111.2 1984. 257-282.
Preprint
Brenken, Berndt
.
C*-algebras associated with topological relations
2004.
Courses
Supervised Students
Degrees
1977 - B.Sc. (Honours) -
University of Toronto
1979 - M.A. -
University of Pennsylvania
1982 - Ph.D. -
University of Pennsylvania
Students
Ph.D. Students:
Shawn McCann
2008 to Present
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